I think the idea of the comic is that initially there was just Krampus, at least in Germany and some other countries in Europe. I think also in Finnland the Joulupuki looked more like a daemon goat. And afaik it beat children but also brought presents? Anyway only later its appearance either changed to look more like St. Nocholaus/Santa or was directly replaced.

But correct me if I’m wrong. Well I hope I’m correct because I laughed my ass off