I always viewed that ninjutsu, kung fu and boxing being Bruce's forte while stuff like Karate and Judo being the things he knows the basic concept of rather than being a master of. I always viewed him, like you said, someone who uses trickery, weaponry and strategy when fighting but I also imagine that he is also a slight of hand type that at first sight when you throw a punch makes you think that he is catching it but switches at the last moment suddenly dodges it and karate chops your neck or something.