How to use cavalry?

[Cute Wolf]

Wooden club is indeed lethal when used by strong big men that trained with it, like some screaming germans, and thus, logic to have AP, however, when used by average men, they aren't much better than simple stick, and thus shouldn't have AP.

in fact, bludgeon weapons are used worldwide in wars, but it seems axe is much supperior bludgeon weapon than club, so I'll rather ask why Romans don't arm themselves with axe? (I know sharp edged battle axe is cutting weapon as well, I talk about the commoner's axe that rarely sharpened and not well-treated for weapons, they are in fact bludgeon wepon)