That you're an extremely fine nit-picker and belly button lint inspector?
Ok ... I'll grant you that.
The main and central point here is whether Hitler was mass-exterminating Jews in gas chambers and disposing of their remains in cremation ovens.
Take some time and watch these very well documented and constructed video segments
from a documentary done by David Cole back about 1992. Now, he was a JEW ... so you're not going to get any "anti-semitism".
THEN come back and talk, if you want to.