I would agree for the most part. One additional reason that skinning asap I don't believe that has been mentioned is: It makes skinning easier. Skin and animal when the body is still warm and that hide just peals off, wait a couple days and try it and you'll see it becomes much more difficult.
I've had it freeze before and talk about a finger numbing hard job.

I like to let the body hang in a dry, cool, place long enough for it to cool off. Never try to butcher a warm deer and place it in the freezer still warm. The meat will not freeze correct and you'll definatly run into problems.
A side note for a good reason WHY TO leave the hide on. If your a ways from gettting the deer into a dry, clean, cool, environment. The hide will help protect them meat.
Good Luck!