I did notice that it's hardly impossible for a new player to heal Deep Cuts, but it's very easy to get it, only way to heal deep cuts for a new player is to give Clover to a Mouflon and sheer it (they are not common creatures), then use that single piece of wool in a loom to make a Gauze.
Now, I suppose it's very easy for strong players to heal these wounds since they can tame a mouflon, but for a player that can't even defeat a Badger, farming wool is very hard!.
So, I think there should be a Hearth Magic to heal Deep Cuts, oh yeah and I know there's Stinging Poultrice, but Leather is a very valuable resource for new players, so I can't really use Animal Hide to heal deep cuts, since every fight with an animal gives me deep cuts...I should farm Rabbits only to heal the wounds I get when fighting animals..