Yes most people don’t know that. A chicken don’t know the difference between a grasshopper and a mouse. Its all protein dontcha know. LOL!
Roosters have different calls for predators depending on if it is a hawk or a dog or fox- these calls are very easy to distinguish. I’m so used to the calls now when the rooster makes an “aerial predator call” to warn his hens I look up automatically and there is always a hawk, and when he makes the “dog alert” call I look low for the fox or dog. He makes no such call for vultures or the little red-shouldered hawk that is not a threat, no call for my dog, only strange ones. The rooster also makes distinctive sounds depending on what he finds to eat, be it bread or a snake. If it’s something normal like corn a few of the hens will lazily come to him but if he sounds really excited about a lizard or snake they all come running.
Like someone else said, sounds like the cow is low on a mineral; could be salt or calcium, especially if the cow has given birth recently.