Well, yeah, hooks are a different matter, since you need to go through flesh.Disgusting. Anybody who've worked with goats for five minutes knows the best way to hang a goat head is by the horns. For god's sake, do some research, how are we supposed to take that seriously ? I hope the game's story goes to great lengths to justify such a terrifying display of incompetence, cause those guys clearly never have seen a hanging goat head before.
Still, I'm wondering why you need to hook by the head since all goat butchering I've seen was with the animal hanging upside down. Different technique maybe. Although it would be uncomfortable to decapitate in this position, not to mention the danger of having the mass of the body falling down, threatening the butcher and the quality of the meat.