It's trying to be revolutionary. Whether it succeeds is another question.
The thing I thought was really special with Heavy Rain is that they made the controls incredibly immersive in most of the game. For the fight scene, it's kind of standard action game style QTE. The one that really stood out for me was the sequence of climbing a muddy hill in the rain.
Imagine trying to climb a muddy hill in the rain, and the sequence of events that takes place. First, I'd make sure that I'm balanced and on steady ground. Take a quick check of my footings and make sure I won't fall before I reach for the next foothold. The QTE sequence used in Heavy Rain reflected that perfectly. At certain well positioned junctions of the QTE (though it's not exactly quick time, since you can take as long as you want for this), I would be holding my hand in place and scanning the screen to make sure that I can let go of certain buttons so that I can hit the next sequence. The QTE in the game was making me do the same things (mentally, at least) I would have if I was actually climbing the hill. This is extended to the way the devs utulized the six-axis; shaking the puffer bottle (instead of a button, you shake the controller like you would a puffer), opening the car door, reaching for the wallet, examining the dead body.
Aside from the battle, I found the controls of Heavy Rain to be amazing. Instead of a tool used let you play the game, Heavy Rain made the controller as much a part of the game as the environment. They made the controller a central piece of the storytelling. I found the control scheme of Heavy Rain to be easily the most immersive controls that I have ever encountered.
I've heard/read a lot of comments about Heavy Rain being nothing more than an interactive movie of QTEs. Even if they are right (and I would argue that they're not), I would still perfer this style of QTE over some of the standard style of game controls.
EDIT: Maybe it's just that I have odd tastes, but aside from a few MAG moments that hill climbing sequence was probably the most fun filled 5-minutes of gaming I've had so far this year. And this is a year that has been mostly consumed by ME2 and MAG up to this point.