Not true. Any animal that will feed on meat will eat its own kind given the opportunity. It's especially common in any species that is communal (like rodents and canine predators for example). But I personally have seen many, many species feed on their own, including noncommunal species (like cougar and birds). When you have to earn your living in nature, a free meal just can't be passed up.
At Digger Wars that I used to host, where we killed thousands of ground squirrels in Medicago fields for the landowners, we never had to pick up the dead. Like us the LO's knew they would be quickly scavenged by their own kind, as well as by any other meat eater in the area. It was very common to kill one, and within minutes another one in the same spot that was already feeding on it. Was the same with any digger species I hunted anyplace I hunted them.
Maybe the best example I can relate concerning coyotes specifically is a lady friend who has a farm in MA. Some of her income comes from egg sales, and she was loosing many of her layers (and some other livestock) to the local predators. Mostly to coyotes, but also some to red and gray fox. Way back when she killed her first coyote years ago, she drug the carcass to an slightly elevated spot she could always see from a farm house window. She set up a shooting bench in that window that is always at the ready, and dialed in her scope to the bait pile. Since then dozens if not hundreds more have been shot out the window when they came to feed on what is now her self replenishing predator bait pile (by just leaving them where they lay on the bait pile). She seldom looses livestock to predators anymore, so they are all obviously choosing the bait pile instead of trying to raid her chicken coops.
