BTW, I retract my statement. I'm playing now and yes, even on a 360 you want to use the D-pad. It is light-years better than the analog stick.
Also, I'm not much of a puzzle guy, but I do find the climbing pretty fun. Pretty surprised at that.
EDIT: The game is also hilarious. No review up until now even brought that up, but I was here dying of laughter at a certain scene.