Some food for thought. Batman also didn't win his final fist fight with Ra's. But he had to outsmart him.
I have no idea what happened in that fight anymore. Quick recap?
I expect more from Batman than thuggery. Plus, in a movie that was lacking in the social commentary (especially compared to DK), a violence vs. non-violence theme could have been a powerful statement.
He tried it in the first fight and it didn't do shit. (he also got thrown into the situation)
I like that in the second fight they just went all out. And hitting the mask is a tactic I think.
He didn't get "thrown into" the first fight. He was tracking Bane in the sewers. There was no hint that he had a plan other than punching him.