I don't think so. Many people feed mixed proteins, after all.
For humans, at least how I understood it, is because some people don't cook beef products thoroughly but poultry always has to be cooked entirely. So one has to be careful not to mix chicken with beef..for humans.
I am careful when cleaning Mazy cat's food processor too. In fact, after I have finished cleaning it and make sure there are no little specks left anywhere, I wipe it down with alcohol before putting it away.
By the way, those tiny bits of meat that don't get scrapped off to be used in the food, kind of cook in the hot water when I am washing them. I discovered at the first use that those tiny cooked bits clog my sink drain strainer very quickly and they are impossible to get rid of. I now place a paper towel over the drain strainer before dumping the dish pan after washing the processor.