You can check out the new Cuba family code. It was heavily discussed and amended at the lower councils and then passed through to the national level. Also, Fidel did have some conservative beliefs regarding gay people in the past, but he later took back what he said and supported LGBTQ+. The DDR was also wildly progressive on the gender, sexuality, and feminist front. I have heard that the DPRK is slightly culturally conservative in the aspect that public displays of affection are generally frowned upon, but LGBTQ+ are not persecuted, but neither outright celebrated. Similar position to China and Vietnam.
The takeaway for LGBTQ+ rights is not corporate sponsors, pride parades, and consumption – but if they are free to be themselves. Are they committing sewerslide in droves? Being targeted by death squads? In many parts of the West, many of their rights are being rolled back or threatened, especially in Amerika. Not all AES support for LGBTQ+ community is perfect, but that would be due to the limiting factor of traditional, conservative views held by the majority population – not socialism.