If you read the Michigan statute that I went to the trouble of posting in detail, you will see that the law doesn't pertain to food animals, and criminals do not evade the law by conveniently telling police that they intend to eat the animal they killed.
(12) This section does not prohibit the lawful killing or other use of an animal, including the following:
(a) Fishing.
(b) Hunting, trapping, or wildlife control regulated under the natural resources and environmental protection act, 1994 PA 451, MCL 324.101 to 324.90106.
(c) Horse racing.
(d) The operation of a zoological park or aquarium.
(e) Pest or rodent control regulated under part 83 of the natural resources and environmental protection act, 1994 PA 451, MCL 324.8301 to 324.8336.
(f) Farming or a generally accepted animal husbandry or farming practice involving livestock.