Deer cleaning is so much easier with the head up! It all falls out nicely and much easier
All depends on if you field dress the deer first. If you don't, I agree with this. If you do, then its a matter of preference.
Personally, I have also found I get less hair on the deer and maintain better control of the deer moving while skinning when hoisted by back legs. But I learned how to skin deer hanging by the hind legs, and admittedly prefer it that way. To keep them from spinning- I usually have someone hold a front leg. If alone- tie a front leg to something.