Oh excellent point, I hadn’t thought about it.
I think it’s different for parts of living things.
Shelling is removing the entire shell. “Peeling” something doesn’t mean adding peel, and “pitting” means removing the pit.
However, for bodies, removing skin in general is “skinning,” but if you lose the skin of just your hand it’s called de-gloving. Removing the bowels isn’t called “boweling,” but “disembowling.”
If I said someone did a “shirting,” maybe I’m weird but I’d think of getting hit with a shirt before removing someone’s shirt. And in hockey, a “jerseying” is more about pulling the jersey over the head than removing it.