I'm not sure I'm seeing what you mean:
Mac:
iPad:
If you go to the Diagrams picker on the iPad, tap the word Diagrams in the toolbar, and check Show Stencils, you'll see the stencil in assembled form, just like you did on the Mac when you told it to edit a copy. The window that lets you select components of the stencil explodes the stencil; the arrangement of the pieces in that window may well differ (due to window size), but the components themselves are unchanged, and if you look at the stencil as a diagram, you get the same thing in both apps.