No, it really doesn't - considering his resources and tactics. He strategizes, he levels the playing field, and he's highly trained. Please note the very first scene with Batman in Batman Begins. He destroyed the lights, he picks them off one-by-one. They couldn't see him, they couldn't hit him. All the while, he's picking them apart like a predator. They were scared, thus making them psychologically vulnerable. And when he does finally engage multiple foes, he does so in close-quarters combat - throwing them into a state of confusion and disarray.
Now, how many times did he actually get shot or stabbed at in that scene? For that matter, how many times has Batman actually been shot/stabbed in these films to warrant being decked out the way that he is? Christ, the way he's dressed, you'd think the man was walking into machine guns on a night-to-night basis.