Let's look at this:
1: Hit - target is hit and takes loads of damage. The mighty swing from the orc went through some of the hero's armour and left a large gash across the ribs.
2: Hit - target is hit but loses very little HP and has loads left. The heroes armour deflected most of the hit but the force from the impact caused a little pain.
Those two descriptions leaves damage on a miss with nothing. Everything you try and describe with damage on a miss sounds exactly like being hit but losing very little HP while still retaining a lot.
Even doing a little damage on a creature with a hit, who is almost dead and finishes them off, makes more sense.
1: Hit - target is hit and takes loads of damage. The mighty swing from the orc went through some of the hero's armour and left a large gash across the ribs.
2: Hit - target is hit but loses very little HP and has loads left. The heroes armour deflected most of the hit but the force from the impact caused a little pain.
Those two descriptions leaves damage on a miss with nothing. Everything you try and describe with damage on a miss sounds exactly like being hit but losing very little HP while still retaining a lot.
Even doing a little damage on a creature with a hit, who is almost dead and finishes them off, makes more sense.