Yes, but mammoths were able to live in a climate where humans could not last long without clothing. Besides, what was going to eat a dead mammoth? Small mammals like rats, foxes, etc. would find it hard to survive in the climate where mammoths could live.
Well, for one, we know there were a lot more types of carnivorous mega-fauna back then.
Like the sabre-toothed tiger.
And several species of giant bears.
I’m just askin questions, hell, I don’t know...
Dire wolves and cave bears would've made pretty short work of a mammoth carcass.