I learned about the Nazis starting out as a gay social club years ago, but you have some additional details here I had not seen before.
Also, I now finally know what "Bratwurstgloeckl" meant in German, though I had sorta guessed it meant "lucky sausage." I thought "gloeckl" was derived from "glücklich".
The details are documented in a couple really good books. The Pink Swastika by Kevin Abrams and Scott Lively, and The Poisoned Stream, by Scott Lively