Ah, I see. I'm totally fine with that. I agree with you that martial arts is a tool for Bruce, and it's only one of many tools for him. I see Bruce as someone who would dabble in several different fighting styles from Karate, to Tae Kwan Do, to Jujitsu , to kickboxing, to Krav Maga, but it doesn't mean he's the master of all of those styles.
Like anyone else, he may be more proficient at one more than the other, and he may excel at one style over the other. In most instances, even with villains like Joker, Two Face, Riddler, or just common street hoods and mob capos, he's not gonna need to use all of the fighting tools in his kit since he's gonna be the most physically dominate figure in that battle.
However, as his master once said to his opponent in The Night of the Ninja BTAS episode, " There's always some one better". Just because he can physically dominate in the majority of his encounters, doesn't mean he couldn't be bested or have his bum handed to him if his opponent or opponents are better than him.
So, I've always accepted the aspect of Batman that he may not always be the best fighter or physical specimen ,depending on the circumstance.