If you want to discuss technicalities:
The Reichstag fire was in February ‘33, the institute was raided in May of ‘33.
My original position was that fighting against communists helped bring Hitler to power, and those clashes occurred first, from street fighting to attempted uprisings by various communist factions within Germany. There is plenty of history out there on this. So yes, they still “came for the communists first” in the context of this discussion. I don’t say this to detract from historic persecution of LGBTQ people in any way.