It all depends on what type animal,whether the skin is to be used and where I have to skin it.
Furbearers going to fur market are skinned according to what the fur buyers want.Most are cased but there are exceptions.
Antelope and deer that I can get the truck to and lift myself,I put on the tailgate and skin one side,roll it over,skin the other,gut and haul to the butcher whole.
Bears and other stuff taken back in the hills,I skin on the ground.Skin one side,roll,skin the other,then quarter for hauling on a pack frame.
Animals meant for taxidermy may be skinned differently,depending on the situation.I prefer large animals cut down the belly and smaller animals cut dorsally.