Agree partially, a high tension bow requires strength in some muscle groups, which are pretty untrained in normal people.Name a real world medieval weapon that required Olympic-level strength to achieve even basic effectiveness with. The only possible candidate I can think of is the longbow. For everything else, sure, a higher strength level is good to have, but hand an average person say a mace and they're still quite capable of using it to deadly effect with the proper training. So rules like this (as seen in games like Diablo) always strain my suspension of disbelief.
On a mechanical level, this just has the effect of being a multiplier to a character's Strength bonus to damage, because the score increases the size of the damage die and then is added directly on top of that.
A mace is a different issue. Buddy of mine has a flanged mace for his LARPs and it is about 12 pound or so. You really need decent strength to swing this thing and stop the momentum before hitting yourself in the leg or such, if you miss. The thing looks very realistic and has the right physical dimension, its flanges just are not sharpened. It is definitely not like a wooden club it weighs a multiple of that.
swinging a "longsword " (=Bastard sword) onehanded with its center of percussion being about the same distance like the mace but only weighing 3-4 pounds or so is far easier, I can assure you that, I tried.