I was getting fairly jealous of PS3 owners, but the more I watched of preview vids the more it looked like one long stream of quick-time events. I hated them enough in Resident Evil 4, I can't imagine going through a whole game of it.
Shrug, I was of the same opinion based on the preview movies, but then I tried the demo out on a whim and decided to go with it. The reason I like it is probably precisely why you're saying "it's not a game", ie. it's different. I wouldn't be buying much games if they were all like Heavy Rain, but I happily bought and played the one.
Edit: very few of the button controls are actually on timer. So you might need to move the controller, or hold down certain buttons in order, but it didn't feel like too many of those were timed.