Too complex, also they'd get screwed over in stat potion use.
Biggest thing this all boils down to is if SE says "we may change what we've decided it to be", then they see both sides of the argument. Nobody should be going too deep into making logical reasons it should be one or the other; it's a game.
So if anyone is going to argue "it should be STR because they're not shooting arrows", my counter is this: If you sleep a bird, it should fall to the ground.