I have shot a number of coyotes with the 308 using various big game bullets in the realm of 150-165 gr. Not one has been spectacularly destroyed, bit of an exit hole just about every time as should be expected. This is at various ranges from 30-125 yards.
I've said it before and I'll say it again, the most spectacular pelt damage I've ever seen was from a 223 55gr FMJ that literally ripped one whole side of the chest open on a yote at a guesstimated 60 yards. The hole was literally big enough to fit my head in, most likely the result of a bad bone hit. (Didn't bother going full CSI on a stinky ripped apart coyote) FWIW the 50 cal muzzleloader is very mild on pelts the couple of times I've tried, the 308 will leave a second hole but I don't shy away from putting them down with it. It's my go to rifle this year, since I'm short a 223 ATM.