Having a power-run game, with a stable of 4 good backs, is a luxury inthat it keeps the backs rested, and the constant, solid, time-killing drives also set up the play-action pass. New England demonstrated that well to Indy on that long throw to Amendola.
Plus, it wears down a defense better, I think, than the "hurry up" offense. It's much more physical, and gives your own defense time to rest between possessions. That's important for a team like New England that emphasizes playing full-out for the entire 60 minutes.