Considering every "communist" nation is actually authoritarian I don't think communism is inherently homophobic. Also every one of those leaders are bad, they run authoritarian countries.

Nearly every capitalist leader has been anti-LGBT. This is silly.

Again, correlation doesn't equal causation. If every fascist leader had been left-handed, that wouldn't make left-handedness inherent to fascism.

Communism is about radical equality. That many leaders have been anti-LGBTQ+ hypocrites doesn't make it part of the ideology.