You’re probably right. How’d he lose his teeth though? any idea?
I don’t think he did, I just think his teeth were covered in blood.
My guesses: If the kill shot did come from the 2nd Police/SS sniper pair on the roof to Trumps left (I've only seen videos of the 1st pair), their bullet seems to have hit him in the mouth, taking out his teeth, heading through his sinuses and into his brain. His eyes seemed still intact, so the shock-pressure was probably relieved (didn't pop his eyes out) by an explosion out the back of his head.
Some say, however, that when he was hit he was still laying flat on the roof, looking over the ridge, and in that case the bullet entered his mouth and went down his gullet with the same shock-compression dispersed within the whole of his body, the bullet only likely to be found at autopsy.
Sorry for the descriptive gore.