Does the GroupBox Header in WPF swallow mouse-clicks?

Ian Oakes answer stuffs up the tab order such that the header comes after the content. It’s possible to modify the control template such that the border can’t receive focus.

To do this, modify the template so that the 2nd and 3rd borders (both in Grid Row 1) have IsHitTestVisible=false

Complete template below

<BorderGapMaskConverter x:Key="GroupBoxBorderGapMaskConverter" />

<Style x:Key="{x:Type GroupBox}" TargetType="{x:Type GroupBox}">
    <Setter Property="Control.BorderBrush" Value="#FFD5DFE5" />
    <Setter Property="Control.BorderThickness" Value="1" />
    <Setter Property="Control.Template">
        <Setter.Value>
            <ControlTemplate TargetType="{x:Type GroupBox}">
                <Grid SnapsToDevicePixels="True">
                    <Grid.ColumnDefinitions>
                        <ColumnDefinition Width="6" />
                        <ColumnDefinition Width="Auto" />
                        <ColumnDefinition Width="*" />
                        <ColumnDefinition Width="6" />
                    </Grid.ColumnDefinitions>
                    <Grid.RowDefinitions>
                        <RowDefinition Height="Auto" />
                        <RowDefinition Height="Auto" />
                        <RowDefinition Height="*" />
                        <RowDefinition Height="6" />
                    </Grid.RowDefinitions>
                    <Border Name="Header" Padding="3,1,3,0" Grid.Row="0" Grid.RowSpan="2" Grid.Column="1">
                        <ContentPresenter ContentSource="Header" RecognizesAccessKey="True" SnapsToDevicePixels="{TemplateBinding UIElement.SnapsToDevicePixels}" />
                    </Border>
                    <Border CornerRadius="4" Grid.Row="1" Grid.RowSpan="3" Grid.Column="0" Grid.ColumnSpan="4" BorderThickness="{TemplateBinding Control.BorderThickness}" BorderBrush="#00FFFFFF" Background="{TemplateBinding Control.Background}" IsHitTestVisible="False" />
                    <ContentPresenter Grid.Row="2" Grid.Column="1" Grid.ColumnSpan="2" Margin="{TemplateBinding Control.Padding}" SnapsToDevicePixels="{TemplateBinding UIElement.SnapsToDevicePixels}"/>
                    <Border CornerRadius="4" Grid.Row="1" Grid.RowSpan="3" Grid.ColumnSpan="4" BorderThickness="{TemplateBinding Control.BorderThickness}" BorderBrush="#FFFFFFFF" IsHitTestVisible="False">
                        <UIElement.OpacityMask>
                            <MultiBinding Converter="{StaticResource GroupBoxBorderGapMaskConverter}" ConverterParameter="7">
                                <Binding ElementName="Header" Path="ActualWidth" />
                                <Binding Path="ActualWidth" RelativeSource="{RelativeSource Self}" />
                                <Binding Path="ActualHeight" RelativeSource="{RelativeSource Self}" />
                            </MultiBinding>
                        </UIElement.OpacityMask>
                        <Border BorderThickness="{TemplateBinding Control.BorderThickness}" BorderBrush="{TemplateBinding Control.BorderBrush}" CornerRadius="3">
                            <Border BorderThickness="{TemplateBinding Control.BorderThickness}" BorderBrush="#FFFFFFFF" CornerRadius="2" />
                        </Border>
                    </Border>                        
                </Grid>
            </ControlTemplate>
        </Setter.Value>
    </Setter>
</Style>