Anyone that is familiar with the ways that communism has existed in Warsaw-pact countries, in China, in southeast Asia in general, etc., should be able to see that. LGBTQ+ people were, if anything, even more fucked in most communist countries. There certainly wasn't any meaningful religious tolerance, since religion was banned in at least some communist countries (or wholly controlled by the gov't).
I'm in favor of communism in principle, but not in practice. I'd love to live in a commune, but I don't think I'd want to live in a communist country.