In my experience, gutting an animal is much faster then quartering regardless of hide on or off.
Never left a hide on to hang whole or on quarters. Was taught that it could taint the meat in terms of taste. Maybe …. Maybe not. It makes sense to me with the smell coming off a bull or bucks hide though. Also was taught to remove all hair off the meat for the above reason.
Do you gut the animal even when quartering in the field? If so, that genuinely intrigues me.
Back in PA when virtually all my deer were drug a few hundred yards (generally speaking) at most to a tractor or pickup, gutting made sense. It’s what we did. People would have looked at you like you were crazy if you mentioned a “gutless method”.
Anyplace that is more remote, I can’t imagine dragging, even with a four wheeler, and so quartering seems more logical. To gut an animal in the field and THEN quarter it seems like an extra step to me.
	