On the origin of the term, Wiki says that the Hebrew word Shoah was used first to describe the extermination of the Jews. In the 1950s the Greek word holocaust began to be used as a translation of Shoah to refer to this event. So originally “The Holocaust” specifically referred to the extermination of the Jews. It wasn’t until later that the term began to be extended to extermination programs for the Roma, and then to all deliberately killed by the Nazis in WWII.
So given the origin of the term, it’s entirely reasonable to just include the Jews when speaking of victims of “The Holocaust.” Of course, the expanded definitions are OK when the meaning is made clear, but IMO the default meaning of “The Holocaust” is the extermination program against the Jews.
Didn’t the final solution necessarily involve the fate of Jews as a first principle, so there would not have been a holocaust as we know it if it weren’t for the “jewish question”? It’s not that more or many were killed, but that they were the principal target, around which other genocides were organized.
I think that it was racial logic that was being applied no matter what the group was, certainly homosexuals. If they killed their political adversaries then racialism was probably in there in the official “reason,” too but as an excuse.
As a fascinating side note to the discussion - IIRC in the movie “Sophie’s Choice” she is a wife in a Polish Catholic family, sent to the camps because her husband was an intellectual, no Jewish connection at all. The movie received massive publicity, rave reviews, yet I don’t recall any discussion one way or another that the victim in the was not Jewish. It was a non-issue.