Now I'm on LXDE-mini but prior to this installed LXDE and prior to this KDE. Without Compiz.
In LXDE I think I had this behaviour:
When I click on other desktop (2,3,4)
It still has the same windows in the panel
but I'm on this other desktop. When I click on that windows in the taskbar I'm returned to the desktop1. So the taskpanel was common for all the virtual desktops. As far as I remember this behaviour could be changed from somewhere.
So are you sure when you rotate to another v. desktop you still remain in the first or may be you have
common taskpanel?
When you rotate to another panel and after that click on the minimized window does Compiz rotates you back or does nothing?