Using the Switcher in Tool Window Inner-Fill mode

Hi, is there a way when using Tool Window Inner-Fill mode when I have a Standard Switcher in both the inner and outer docksites, that the inner switcher could show the outer docksites Documents?

The reason behind this is that our outer docksite has documents that we call Pages and toolwindows. Each Page(document) contains an inner docksite. That inner docksite has only toolwindows, that we call Displays. No documents can exist in our inner docksites.

We want the switcher on the outer docksite to allow switching between all of the Pages(documents) and the Displays(Tool Windows) of the current inner docksite. We then want the swticher on the inner docksite to allow switching between all of the Displays(toolwindows) on that inner docksite and all of the Pages(documents) of the outer docksite.

Is it possible?