Without any personal experience, I believe there are a number of things that are common to all kinds of fighting, such as how to move efficiently, keep all parts of yourself away from enemy reach as much as possible, bio mechanical knowledge (i.e. what you can expect to be able to do/not do), detection of incoming threats (which can be considered part of dodge/block), etc.
However, that doesn't necessarily have to be modeled.
It can be noted that just whacking away with an axe as if it was a club is probably going to be rather useless, as an axe requires proper edge alignment to hit properly. Also, the targets suitable for a club strike are different from those suitable for an axe strike.