[JamesP81]

If I were an Army Air Corps general at the time, I would have had a very tough time not bombing the camp, but the only way to stop the killing was to conquer Germany, thus every mission had to be to that end.

You are spot on. The quickest way to end the killing is to win the war.

[Gator101]

The quickest way to end the killing is to win the war.

Yep. One way to say it is that every bomber that would have been diverted to try to *possibly* stop or slow down the killing in a death camp was one less bomber that would have been destroying the German's ability to resist and thus bring ALL the killing to an end. All these other killing would include the daily killings that were occurring away from dedicated death camps (concentration camps, slave labor, street executions, mobile killing units...).