Well the point is your claims are patently false. Neither of these projects were ardently anti LGBTQ like you are claiming. Both of them had or have issues but by and large the fact of the matter is these projects were founded broadly on expanding equality for these classes of people.

Hell the Bolsheviks were fuckin pro Trans people in their fight for power.

Not to mention that there are complex geopolitical reasons for why homosexuality in particular were (incorrectly I will add) targeted for repression. For both Stalin and Mao these were tactics aimed around stifling western imperial influence on their plans to further build and free their peoples from the chains of capital. Homosexuality was viewed as trappings of Western imperialism. Let's remember at this same time in the US gay people are treated pretty fucking terribly as well we don't really have room to criticize here as much as we'd love to.

Like you have to understand these decisions in context of the historical upheavals surrounding them. Soviet Russia was under constant attack from the entire world as the worlds first functional socialist nation operating in entirely uncharted waters. Which is not to lend approval to the misgivings of the USSR but to somewhat contextualize them and see how they make some sense from a different perspective. Likewise with Mao they were working to solidify power after an intense revolution and civil war - the logic was very similar.

Obviously China has moved much more towards acceptance but there's still work to be done. LGBTQ culture just isn't expressed the same way the culture just isn't as hyper individualistic as we are used to.

And again let's take a look at the state of the US and how every rights for LGBTQ people are backsliding before we start throwing stones.