Interesting...surprised that any large animal would be fine after brewing in its own heat for so long, but sounds like for deer it depends on the situation/climate.
As for elk it doesn't matter, if you leave it dressed with the hide on, on the ground, you will lose meat. There is no question that if you leave an arrow shot elk whole on the ground overnight without dressing it will certainly be sour. I guess antler retrieval is the main gig for tv shows.
Seems like a game warden could pursue wanton waste charges on some of these hunting shows.
I started training my drahthaar to recover wounded game (not much training needed:). rare occurrences, but it sure does work well and is legal in most states. He found a nice buck a friend liver-shot this fall and was bedded down in shrubs, no blood trail, and you would have never seen him...but the dog did and the deer bolted and my heart dropped - thinking of the tales of an adrenaline engorged deer running for miles, but the dog caught him after 200 yds and took him down. Crazy experience, but a game changer for when bowhunting goes bad;)