I'm trying to do this with my Classic II (7.1), and it works fine until you open a Finder window and move it or close it. Draws all corruptly. (attached images)
Before: http://afd.gotdns.com/classicii/before.gif
After: http://afd.gotdns.com/classicii/after.gif
Before: http://afd.gotdns.com/classicii/before.gif
After: http://afd.gotdns.com/classicii/after.gif