Both you and Berg are besides the point. Berg with his meaningless hypothetical question and you, insisting that the Germans didn't possess a "technology" that could kill masses of inmates.
You are so very mistaken in thinking that Mr.Berg’s question is a “meaningless hypothetical question”. The delousing tunnels could have been used and they certainly make a whole lot more sense for mass murder – had that been intended - than the Rube Goldberg schemes the hoaxters claim were used at Auschwitz.
For me, an even better Sanity Test would be; had the Nazi cannibals wanted to carry out mass gassings of Jews at Auschwitz, would they have used the idiotic Rube Goldberg schemes claimed, which would not have even worked, or would they have resorted to the tested and proven technology they employed on their delousing gas chambers, which incidentally, EXISTED at Auschwitz?
In this case, as Mr.Berg correctly points out, "we have a clear view of the Germans “actual thinking revealed by their superb designs, the best gas chamber designs anywhere in the world for fumigating, or any other purpose[…]”
This Sanity Test is quite easy and I think whoever would fail it is indeed INSANE!(or in need of more studying!)