Not sure if it's a bug or a feature request, when you switch layouts with a global object, the object stays on the layer using it's number (index) and not by its name.
So if I have 2 layouts like this
Layout 1 - layers:
Layout 2 - layers:
and the character is on the main layer on layout 1, when switching to layout 2, I would expect it to remain on the MAIN layer, but it ends up in the FG layer (with different parallax and settings).