I dont have an atari, so i have to speak for amiga only.
Amiga2000 is a great computer. Created only for professionals, and as a professional, I have 5x A2000 with genlocks.
We also have one to the TV station i work.
The A2000 "overlays" the station logo on the upper left corner of the screen.
It has been animating (yes the logo is animated and in Hi-Res) this logo for 13 years now (since 1990) without a single crash!
I haven't seen any ataris doing that... :-P