^^^ There is probably more of a hygeinic risk to eat a member of your own species, or even a member of a closely-related species who probably gets a lot of the same diseases you do.
But, yeah: gross. And somewhat disrespectful to the animal, although not nearly as bad as intentionally shortening his/her life so you can munch on his or her remains. I'd leave any dead bodies for other animals who are able to consume such things without being made sick, just as I now give such things to my cat or my neighbors' dogs (unless it might make them ill. For example: Onion isn't good for cats. A month ago I was given half of a tuna fish sandwich by a friend who was definitely going to throw it out, although it was freshly made. There was minced onion in it, so I picked the onion out before giving the tuna filling to my cat. And for some reason, ham makes my neighbors' dogs throw up.)