Originally posted by Dr. Zaius
Yes, it's a comic. But that's no answer. It's funny you say they're "written that way", and that's that. Part of the argument for Batman vs. Cap involves fighting skills. On the one hand, we have a character who's entire origin story revolves around him honing his hand-to-hand fighting. On the other, we have a normal guy injected by a drug and given a crash course in commando-style/martial arts fighting. The respective stories of the two characters indicates that Batman knows more. Alot more. Cap's martial arts mastery is a serious narrative inconsistency and alot more glaring than Bat's seemingly impossible knowledge of 127 fighting styles.
Why is it funny that 'they're written that way,' being an argument? It really is quite that simple.
Why didn't Parker get cancer from the spider-bite, but rather, super-powers?
Captain America is JUST that good. He is one of the best fighters on Marvel Earth. And Marvel Earth houses some pretty good fighters.
Likewise, though, Batman is one of the best fighters on DC earth. Hence, most people approximate their skills about equal, judging by what the panels say. Some will say that one has a slight advantage over the other in the skill department, but they would never try to acknowledge the kind of gap you are talking about.
Most aren't quite ignorant enough, or have enough blind hate to just ignore what Cap has been said to be, and shown to be capable of.