It’s not only cows, I’ve heard of similar with sheep and goats.
I suspect the reason hunters don’t come across similar among game animals is for several reasons, one, game animals live in the woods where the number of predators and scavengers is much higher and who would likely find and dispose of the carcass before the occasional hunter would.
Domestic animals are generally checked on on a regular basis by their owners, so are the more frequently found and cattle are the number one domestic farm animal, so the stories tend to be about cows.
It is exceedingly rare to find dead animals in the wild. I have done conservation research in a variety of locations. In northern Namibia I watched a lion take a springbok, and literally within an hour, between two lions feeding and a couple of vultures and jackals clearing the table, the springbok went from living animal to grease spot; hide, hooves, bone, and horn - all gone. If I was working in the bush and I found some animal parts, I didn’t hang around too long.
It’s been reported by ranchers and farmers that predatory animals won’t touch these mutilated carcasses. Even when they lay out for days. Neither will flies.