I could easily adapt your arguments to the standard concentration camp system, where people were essentially worked to death, depending on your color-coding. I mean I disagree about Auschwitz itself, particularly in the late war time frame, but let's put that aside a moment.

There was another arm. What were Belzec, Sobibor and Treblinka?

And while we are at it, what happened to the ~3 million Soviet PoWs?