I've got it set up so the PS3 and TV communicate via HDMI and turning one or the other on/off turns them both on/off.
If I'm in the middle of a video game (and paused) I can turn off the TV without the console shutting down. However, if I'm just at the downloads management screen I can't.
Is there a way to temporarily disable the HDMI communication? I'd rather not have to go into the settings for something so simple, but that's probably easier than then RL hack I've been using of pulling the HDMI cable out while I power off the TV.