I would say that depends on two things, shot placement and arrow setup. Say you have an arrow that you fletch with and offset/helical built to spin like crazy and you get a good clean shot without hitting any major muscle/rib/bone, I would assume that you would get SOME rotation, but still would not be near as much as during the flight.
More conventionally setup arrows with a fixed head I would guess you spin would be minimal once it hits an animal.
Either way, once you get muscle or bone your rotation is done.
But to contradict/argue with myself, I have also seen a 3blade BH on an offset fletched arrow that is built to spin a lot, hit a deer and you can see the triangular wound channel all the way through the deer, whereas if it would have kept spinning it would have been more of a circular wound channel.
Great question, looking forward to what kinds of input we get here.