diff --git a/python/PyQt6/core/auto_additions/qgsgeometry.py b/python/PyQt6/core/auto_additions/qgsgeometry.py
index 3af46379076..c8dc6afb58e 100644
--- a/python/PyQt6/core/auto_additions/qgsgeometry.py
+++ b/python/PyQt6/core/auto_additions/qgsgeometry.py
@@ -14,7 +14,6 @@ try:
     QgsGeometry.collectGeometry = staticmethod(QgsGeometry.collectGeometry)
     QgsGeometry.createWedgeBuffer = staticmethod(QgsGeometry.createWedgeBuffer)
     QgsGeometry.createWedgeBufferFromAngles = staticmethod(QgsGeometry.createWedgeBufferFromAngles)
-    QgsGeometry.name = staticmethod(QgsGeometry.name)
     QgsGeometry.unaryUnion = staticmethod(QgsGeometry.unaryUnion)
     QgsGeometry.polygonize = staticmethod(QgsGeometry.polygonize)
     QgsGeometry.fromQPointF = staticmethod(QgsGeometry.fromQPointF)
diff --git a/python/PyQt6/core/auto_generated/geometry/qgsgeometry.sip.in b/python/PyQt6/core/auto_generated/geometry/qgsgeometry.sip.in
index a1ec175e5d0..931d6ce6911 100644
--- a/python/PyQt6/core/auto_generated/geometry/qgsgeometry.sip.in
+++ b/python/PyQt6/core/auto_generated/geometry/qgsgeometry.sip.in
@@ -329,11 +329,6 @@ Polygon geometry.
 .. versionadded:: 3.40
 %End
 
-    static QString name( Qgis::GeometryType type );
-%Docstring
-Returns a user friendly name as a string out of the type
-%End
-
 
     void fromWkb( const QByteArray &wkb );
 %Docstring
@@ -353,11 +348,6 @@ etc.)
 Returns type of the geometry as a :py:class:`Qgis`.GeometryType
 
 .. seealso:: :py:func:`wkbType`
-%End
-
-    QString typeName() const /HoldGIL/;
-%Docstring
-Returns the type name as a string
 %End
 
     bool isEmpty() const /HoldGIL/;
diff --git a/python/PyQt6/core/auto_generated/processing/qgsprocessingoutputs.sip.in b/python/PyQt6/core/auto_generated/processing/qgsprocessingoutputs.sip.in
index 218046cdb53..5bb1fff8e14 100644
--- a/python/PyQt6/core/auto_generated/processing/qgsprocessingoutputs.sip.in
+++ b/python/PyQt6/core/auto_generated/processing/qgsprocessingoutputs.sip.in
@@ -69,7 +69,7 @@ Constructor for QgsProcessingOutputDefinition.
 %Docstring
 Returns the color to use for the output in model designer windows.
 
-.. versionadded:: 3.44
+.. versionadded:: 4.0
 %End
 
     virtual QString type() const = 0;
diff --git a/python/PyQt6/core/auto_generated/processing/qgsprocessingparameters.sip.in b/python/PyQt6/core/auto_generated/processing/qgsprocessingparameters.sip.in
index 07cea353250..6d3495e57d1 100644
--- a/python/PyQt6/core/auto_generated/processing/qgsprocessingparameters.sip.in
+++ b/python/PyQt6/core/auto_generated/processing/qgsprocessingparameters.sip.in
@@ -366,8 +366,10 @@ Constructor for QgsProcessingParameterDefinition.
 
     virtual QColor modelColor() const;
 %Docstring
-Returns the color to use for the parameter type in model designer
-windows.
+Returns the color to use for the parameter in model designer windows.
+
+The default implementation retrieves the color from the parameter type,
+see :py:func:`QgsProcessingParameterType.modelColor()`.
 
 .. versionadded:: 4.0
 %End
diff --git a/python/PyQt6/core/auto_generated/processing/qgsprocessingparametertype.sip.in b/python/PyQt6/core/auto_generated/processing/qgsprocessingparametertype.sip.in
index 18ee600dbd3..6e61be5eaed 100644
--- a/python/PyQt6/core/auto_generated/processing/qgsprocessingparametertype.sip.in
+++ b/python/PyQt6/core/auto_generated/processing/qgsprocessingparametertype.sip.in
@@ -188,8 +188,8 @@ for the parameter.
 %Docstring
 Returns the color to use for the parameter in model designer windows.
 
-The default implementation retrieves the color from the parameter type,
-see :py:func:`QgsProcessingParameterType.modelColor()`.
+The default implementation returns
+:py:func:`~QgsProcessingParameterType.defaultModelColor`.
 
 .. versionadded:: 4.0
 %End
diff --git a/python/PyQt6/gui/auto_generated/processing/models/qgsmodelcomponentgraphicitem.sip.in b/python/PyQt6/gui/auto_generated/processing/models/qgsmodelcomponentgraphicitem.sip.in
index cc9eb8d90ad..8f164be25ba 100644
--- a/python/PyQt6/gui/auto_generated/processing/models/qgsmodelcomponentgraphicitem.sip.in
+++ b/python/PyQt6/gui/auto_generated/processing/models/qgsmodelcomponentgraphicitem.sip.in
@@ -330,6 +330,8 @@ Updates the item's button positions, based on the current item rect.
 %Docstring
 Returns the fallback color if the parameter or output does not have a
 specific color.
+
+.. versionadded:: 4.0
 %End
 };
 QFlags<QgsModelComponentGraphicItem::Flag> operator|(QgsModelComponentGraphicItem::Flag f1, QFlags<QgsModelComponentGraphicItem::Flag> f2);
diff --git a/python/PyQt6/gui/auto_generated/processing/models/qgsmodelgraphicitem.sip.in b/python/PyQt6/gui/auto_generated/processing/models/qgsmodelgraphicitem.sip.in
index a01a8afbc65..81eb8a98cc2 100644
--- a/python/PyQt6/gui/auto_generated/processing/models/qgsmodelgraphicitem.sip.in
+++ b/python/PyQt6/gui/auto_generated/processing/models/qgsmodelgraphicitem.sip.in
@@ -182,7 +182,6 @@ Return the component associated to the socket.
 %Docstring
 Return the parent graphic item associated to the socket.
 %End
-
     QColor socketColor() const;
 %Docstring
 Returns the color of the socket based on the type of data the param
@@ -200,7 +199,6 @@ Returns ``True`` if the parameter is set to the default parameter value.
   signals:
 
 
-
 };
 
 
diff --git a/python/core/auto_additions/qgsgeometry.py b/python/core/auto_additions/qgsgeometry.py
index 3af46379076..c8dc6afb58e 100644
--- a/python/core/auto_additions/qgsgeometry.py
+++ b/python/core/auto_additions/qgsgeometry.py
@@ -14,7 +14,6 @@ try:
     QgsGeometry.collectGeometry = staticmethod(QgsGeometry.collectGeometry)
     QgsGeometry.createWedgeBuffer = staticmethod(QgsGeometry.createWedgeBuffer)
     QgsGeometry.createWedgeBufferFromAngles = staticmethod(QgsGeometry.createWedgeBufferFromAngles)
-    QgsGeometry.name = staticmethod(QgsGeometry.name)
     QgsGeometry.unaryUnion = staticmethod(QgsGeometry.unaryUnion)
     QgsGeometry.polygonize = staticmethod(QgsGeometry.polygonize)
     QgsGeometry.fromQPointF = staticmethod(QgsGeometry.fromQPointF)
diff --git a/python/core/auto_generated/geometry/qgsgeometry.sip.in b/python/core/auto_generated/geometry/qgsgeometry.sip.in
index 59eb8bed271..8e46bfa96b0 100644
--- a/python/core/auto_generated/geometry/qgsgeometry.sip.in
+++ b/python/core/auto_generated/geometry/qgsgeometry.sip.in
@@ -329,11 +329,6 @@ Polygon geometry.
 .. versionadded:: 3.40
 %End
 
-    static QString name( Qgis::GeometryType type );
-%Docstring
-Returns a user friendly name as a string out of the type
-%End
-
 
     void fromWkb( const QByteArray &wkb );
 %Docstring
@@ -353,11 +348,6 @@ etc.)
 Returns type of the geometry as a :py:class:`Qgis`.GeometryType
 
 .. seealso:: :py:func:`wkbType`
-%End
-
-    QString typeName() const /HoldGIL/;
-%Docstring
-Returns the type name as a string
 %End
 
     bool isEmpty() const /HoldGIL/;
diff --git a/python/core/auto_generated/processing/qgsprocessingoutputs.sip.in b/python/core/auto_generated/processing/qgsprocessingoutputs.sip.in
index 218046cdb53..5bb1fff8e14 100644
--- a/python/core/auto_generated/processing/qgsprocessingoutputs.sip.in
+++ b/python/core/auto_generated/processing/qgsprocessingoutputs.sip.in
@@ -69,7 +69,7 @@ Constructor for QgsProcessingOutputDefinition.
 %Docstring
 Returns the color to use for the output in model designer windows.
 
-.. versionadded:: 3.44
+.. versionadded:: 4.0
 %End
 
     virtual QString type() const = 0;
diff --git a/python/core/auto_generated/processing/qgsprocessingparameters.sip.in b/python/core/auto_generated/processing/qgsprocessingparameters.sip.in
index 7bf4918ae9a..04c22c6dfda 100644
--- a/python/core/auto_generated/processing/qgsprocessingparameters.sip.in
+++ b/python/core/auto_generated/processing/qgsprocessingparameters.sip.in
@@ -366,8 +366,10 @@ Constructor for QgsProcessingParameterDefinition.
 
     virtual QColor modelColor() const;
 %Docstring
-Returns the color to use for the parameter type in model designer
-windows.
+Returns the color to use for the parameter in model designer windows.
+
+The default implementation retrieves the color from the parameter type,
+see :py:func:`QgsProcessingParameterType.modelColor()`.
 
 .. versionadded:: 4.0
 %End
diff --git a/python/core/auto_generated/processing/qgsprocessingparametertype.sip.in b/python/core/auto_generated/processing/qgsprocessingparametertype.sip.in
index 18ee600dbd3..6e61be5eaed 100644
--- a/python/core/auto_generated/processing/qgsprocessingparametertype.sip.in
+++ b/python/core/auto_generated/processing/qgsprocessingparametertype.sip.in
@@ -188,8 +188,8 @@ for the parameter.
 %Docstring
 Returns the color to use for the parameter in model designer windows.
 
-The default implementation retrieves the color from the parameter type,
-see :py:func:`QgsProcessingParameterType.modelColor()`.
+The default implementation returns
+:py:func:`~QgsProcessingParameterType.defaultModelColor`.
 
 .. versionadded:: 4.0
 %End
diff --git a/python/gui/auto_generated/processing/models/qgsmodelcomponentgraphicitem.sip.in b/python/gui/auto_generated/processing/models/qgsmodelcomponentgraphicitem.sip.in
index 98c093529d2..12ef46f9744 100644
--- a/python/gui/auto_generated/processing/models/qgsmodelcomponentgraphicitem.sip.in
+++ b/python/gui/auto_generated/processing/models/qgsmodelcomponentgraphicitem.sip.in
@@ -330,6 +330,8 @@ Updates the item's button positions, based on the current item rect.
 %Docstring
 Returns the fallback color if the parameter or output does not have a
 specific color.
+
+.. versionadded:: 4.0
 %End
 };
 QFlags<QgsModelComponentGraphicItem::Flag> operator|(QgsModelComponentGraphicItem::Flag f1, QFlags<QgsModelComponentGraphicItem::Flag> f2);
diff --git a/python/gui/auto_generated/processing/models/qgsmodelgraphicitem.sip.in b/python/gui/auto_generated/processing/models/qgsmodelgraphicitem.sip.in
index 62ae740f428..81eb8a98cc2 100644
--- a/python/gui/auto_generated/processing/models/qgsmodelgraphicitem.sip.in
+++ b/python/gui/auto_generated/processing/models/qgsmodelgraphicitem.sip.in
@@ -199,7 +199,6 @@ Returns ``True`` if the parameter is set to the default parameter value.
   signals:
 
 
-
 };
 
 
diff --git a/src/core/geometry/qgsgeometry.cpp b/src/core/geometry/qgsgeometry.cpp
index 0c4d559b7b5..462434076f4 100644
--- a/src/core/geometry/qgsgeometry.cpp
+++ b/src/core/geometry/qgsgeometry.cpp
@@ -476,19 +476,6 @@ QgsGeometry QgsGeometry::createWedgeBufferFromAngles( const QgsPoint &center, do
   return QgsGeometry( std::move( cp ) );
 }
 
-QString QgsGeometry::name( Qgis::GeometryType type )
-{
-  switch ( type )
-  {
-    case Qgis::GeometryType::Line: return QString( "Line" );
-    case Qgis::GeometryType::Point: return QString( "Point" );
-    case Qgis::GeometryType::Polygon: return QString( "Polygon" );
-    case Qgis::GeometryType::Null: return QString( "Null" );
-    case Qgis::GeometryType::Unknown:
-    default: return QString( "Unknown" );
-  }
-}
-
 void QgsGeometry::fromWkb( unsigned char *wkb, int length )
 {
   QgsConstWkbPtr ptr( wkb, length );
@@ -523,16 +510,6 @@ Qgis::GeometryType QgsGeometry::type() const
   return QgsWkbTypes::geometryType( d->geometry->wkbType() );
 }
 
-QString QgsGeometry::typeName() const
-{
-  if ( !d->geometry )
-  {
-    return QgsGeometry::name( Qgis::GeometryType::Null );
-  }
-
-  return QgsGeometry::name( type() );
-}
-
 bool QgsGeometry::isEmpty() const
 {
   if ( !d->geometry )
diff --git a/src/core/geometry/qgsgeometry.h b/src/core/geometry/qgsgeometry.h
index 2a73977475b..8b87e5969a3 100644
--- a/src/core/geometry/qgsgeometry.h
+++ b/src/core/geometry/qgsgeometry.h
@@ -380,11 +380,6 @@ class CORE_EXPORT QgsGeometry
     static QgsGeometry createWedgeBufferFromAngles( const QgsPoint &center, double startAngle, double endAngle,
         double outerRadius, double innerRadius = 0 );
 
-    /**
-     * Returns a user friendly name as a string out of the type
-     */
-    static QString name( Qgis::GeometryType type );
-
     /**
      * Set the geometry, feeding in the buffer containing OGC Well-Known Binary and the buffer's length.
      * This class will take ownership of the buffer.
@@ -409,11 +404,6 @@ class CORE_EXPORT QgsGeometry
      */
     Qgis::GeometryType type() const SIP_HOLDGIL;
 
-    /**
-     * Returns the type name as a QString
-     */
-    QString typeName() const SIP_HOLDGIL;
-
     /**
      * Returns TRUE if the geometry is empty (eg a linestring with no vertices,
      * or a collection with no geometries). A null geometry will always
diff --git a/src/core/processing/qgsprocessingoutputs.h b/src/core/processing/qgsprocessingoutputs.h
index c88ac3ddc06..fcfec462a41 100644
--- a/src/core/processing/qgsprocessingoutputs.h
+++ b/src/core/processing/qgsprocessingoutputs.h
@@ -89,7 +89,7 @@ class CORE_EXPORT QgsProcessingOutputDefinition
     /**
     * Returns the color to use for the output in model designer windows.
     *
-    * \since QGIS 3.44
+    * \since QGIS 4.0
     */
     virtual QColor modelColor() const;
 
diff --git a/src/core/processing/qgsprocessingparameters.cpp b/src/core/processing/qgsprocessingparameters.cpp
index a96e3f053c3..6674079c06d 100644
--- a/src/core/processing/qgsprocessingparameters.cpp
+++ b/src/core/processing/qgsprocessingparameters.cpp
@@ -3054,7 +3054,7 @@ QString QgsProcessingParameterDefinition::userFriendlyString( const QVariant &va
   else if ( value.userType() == qMetaTypeId<QgsRectangle>() )
   {
     const QgsGeometry g = QgsGeometry::fromRect( value.value<QgsRectangle>() );
-    return g.typeName();
+    return QgsWkbTypes::geometryDisplayString( g.type() );
   }
 
   else if ( value.userType() == qMetaTypeId<QgsReferencedRectangle>() )
@@ -3063,9 +3063,9 @@ QString QgsProcessingParameterDefinition::userFriendlyString( const QVariant &va
     if ( !g.isNull() )
     {
 
-      return QStringLiteral( "[%1] %2" ).arg( g.crs().userFriendlyIdentifier( Qgis::CrsIdentifierType::ShortString ), g.typeName() );
+      return QStringLiteral( "[%1] %2" ).arg( g.crs().userFriendlyIdentifier( Qgis::CrsIdentifierType::ShortString ), QgsWkbTypes::geometryDisplayString( g.type() ) );
     }
-    return g.typeName();
+    return QgsWkbTypes::geometryDisplayString( g.type() );
   }
 
   else if ( value.userType() == qMetaTypeId<QgsProcessingOutputLayerDefinition>() )
@@ -4099,7 +4099,7 @@ QString QgsProcessingParameterGeometry::userFriendlyString( const QVariant &valu
     if ( value.userType() == qMetaTypeId< QgsGeometry>() )
     {
       const QgsGeometry g = value.value<QgsGeometry>();
-      return g.typeName();
+      return QgsWkbTypes::geometryDisplayString( g.type() );
     }
 
     else if ( value.userType() == qMetaTypeId<QgsReferencedGeometry>() )
@@ -4107,9 +4107,9 @@ QString QgsProcessingParameterGeometry::userFriendlyString( const QVariant &valu
       const QgsReferencedGeometry g = value.value<QgsReferencedGeometry>();
       if ( !g.isNull() )
       {
-        return QStringLiteral( "[%1] %2" ).arg( g.crs().userFriendlyIdentifier( Qgis::CrsIdentifierType::ShortString ), g.typeName() );
+        return QStringLiteral( "[%1] %2" ).arg( g.crs().userFriendlyIdentifier( Qgis::CrsIdentifierType::ShortString ), QgsWkbTypes::geometryDisplayString( g.type() ) );
       }
-      return g.typeName();
+      return QgsWkbTypes::geometryDisplayString( g.type() );
     }
 
     else if ( value.userType() == QMetaType::QString )
@@ -4119,7 +4119,7 @@ QString QgsProcessingParameterGeometry::userFriendlyString( const QVariant &valu
       QgsGeometry g = QgsGeometry::fromWkt( value.toString() );
       if ( !g.isNull() )
       {
-        return g.typeName();
+        return QgsWkbTypes::geometryDisplayString( g.type() );
       }
     }
   }
diff --git a/src/core/processing/qgsprocessingparameters.h b/src/core/processing/qgsprocessingparameters.h
index b7c764de946..beee17a2ab3 100644
--- a/src/core/processing/qgsprocessingparameters.h
+++ b/src/core/processing/qgsprocessingparameters.h
@@ -462,7 +462,9 @@ class CORE_EXPORT QgsProcessingParameterDefinition
     virtual ~QgsProcessingParameterDefinition() = default;
 
     /**
-     * Returns the color to use for the parameter type in model designer windows.
+     * Returns the color to use for the parameter in model designer windows.
+     *
+     * The default implementation retrieves the color from the parameter type, see QgsProcessingParameterType::modelColor().
      *
      * \since QGIS 4.0
      */
diff --git a/src/core/processing/qgsprocessingparametertype.h b/src/core/processing/qgsprocessingparametertype.h
index 45f20572aa8..71c52f0ef0c 100644
--- a/src/core/processing/qgsprocessingparametertype.h
+++ b/src/core/processing/qgsprocessingparametertype.h
@@ -181,7 +181,7 @@ class CORE_EXPORT QgsProcessingParameterType
     /**
      * Returns the color to use for the parameter in model designer windows.
      *
-     * The default implementation retrieves the color from the parameter type, see QgsProcessingParameterType::modelColor().
+     * The default implementation returns defaultModelColor().
      *
      * \since QGIS 4.0
      */
diff --git a/src/gui/processing/models/qgsmodelarrowitem.cpp b/src/gui/processing/models/qgsmodelarrowitem.cpp
index 73f6defb2f5..8d794b203f7 100644
--- a/src/gui/processing/models/qgsmodelarrowitem.cpp
+++ b/src/gui/processing/models/qgsmodelarrowitem.cpp
@@ -106,7 +106,7 @@ void QgsModelArrowItem::paint( QPainter *painter, const QStyleOptionGraphicsItem
   switch ( mEndMarker )
   {
     case Marker::Circle:
-      painter->drawEllipse( mEndPoint, 3, 3 );
+      painter->drawEllipse( mEndPoint, 3.0, 3.0 );
       break;
     case Marker::ArrowHead:
       drawArrowHead( painter, mEndPoint, path().pointAtPercent( 1.0 ) - path().pointAtPercent( 0.95 ) );
diff --git a/src/gui/processing/models/qgsmodelcomponentgraphicitem.cpp b/src/gui/processing/models/qgsmodelcomponentgraphicitem.cpp
index be36aa92898..ce96c9ae637 100644
--- a/src/gui/processing/models/qgsmodelcomponentgraphicitem.cpp
+++ b/src/gui/processing/models/qgsmodelcomponentgraphicitem.cpp
@@ -572,8 +572,7 @@ void QgsModelComponentGraphicItem::fold( Qt::Edge edge, bool folded )
   }
   else if ( QgsProcessingModelParameter *param = dynamic_cast<QgsProcessingModelParameter *>( mComponent.get() ) )
   {
-    QgsProcessingModelParameter parameterComponent = mModel->parameterComponent( param->parameterName() );
-    parameterComponent.setLinksCollapsed( edge, folded );
+    mModel->parameterComponent( param->parameterName() ).setLinksCollapsed( edge, folded );
   }
   else if ( QgsProcessingModelOutput *output = dynamic_cast<QgsProcessingModelOutput *>( mComponent.get() ) )
   {
@@ -1274,11 +1273,10 @@ QString QgsModelChildAlgorithmGraphicItem::linkPointText( Qt::Edge edge, int ind
         QString name = param->name();
         QString title = param->description();
 
-
         QgsProcessingModelChildParameterSources paramSources = child->parameterSources().value( name );
         QString parameterValueAsString;
 
-        if ( paramSources.size() > 0 )
+        if ( paramSources.empty() )
         {
           QgsProcessingModelChildParameterSource firstParameterSource = paramSources[0];
 
diff --git a/src/gui/processing/models/qgsmodelcomponentgraphicitem.h b/src/gui/processing/models/qgsmodelcomponentgraphicitem.h
index 41614df81ee..7a9162da161 100644
--- a/src/gui/processing/models/qgsmodelcomponentgraphicitem.h
+++ b/src/gui/processing/models/qgsmodelcomponentgraphicitem.h
@@ -369,6 +369,8 @@ class GUI_EXPORT QgsModelComponentGraphicItem : public QGraphicsObject
 
     /**
      * Returns the fallback color if the parameter or output does not have a specific color.
+     * 
+     * \since QGIS 4.0
      */
     QColor fallbackColor() const { return mFallbackColor; };