Wow. I had missed that the first time.Even if i did miss by a few inches ( GOD FORBID) and hit the jaw, the shock of a big fast bullet out of a 300 mag will knock a deer out cold , and he would bleed to death before he came too.
I've helped look for deer that other hunters have shot in the head that flopped over, then came to and ran off with a wound to the cranium. Bleeding to death from a shot-off jaw is NOT very likely. Also, with the hinged jaw, the shock imparted to the CNS is very likely not going to put the animal down.