Consider adding an additional Grid helper to help when doing this:
<ColumnDefinitions>
<ColumnDefinition x:Name="column1CloneForLayer0" SharedSizeGroup="column1" />
</ColumnDefinitions>
This also applies when referencing a size group and width:
<ColumnDefinitions>
<ColumnDefinition Width="300" SharedSizeGroup="column1" />
</ColumnDefinitions>