They where all purged

I seriously doubt that. There were probably still Nazis who were secretly homosexual when the war ended.

When they "purged" Röhm that was simply because they saw him as a threat because he commanded the SA which had grown into a serious power factor in the Reich. His homosexuality was utilized as a pretence against him to destroy his reputation afterwards but it was not the reason they took him out.

Ernst Röhm, nor any of the Brown Shirts for that matter where openly homosexual.

I never used the word open ....