They are literally undermining human rights, including the rights of LGBTQ people. You do know that Russia is one of the harshest places for LGBTQ people. It’s literally illegal to display pride symbols in any way. Also Russia started the war in Ukraine, they literally attacked and decided to occupy a sovern country. China is probably one of the most censorship heavy countries on earth and has suppressed acts of violence like the Tienanmen Square Massacre. How can anyone support countries like this WTF?
How can someone support them in good faith? I’ll focus on China, but here are some reasons:
For starters, I don’t believe that it’s possible to impose on a society from the outside to accept LGBTQ people. For example, making LGBTQ acceptance as a precondition on having good relations with China has literally 0% chance of improving life of LGBTQ people there. It’s more likely to backfire. On the other hand, having good relations, and allowing cultural exchange to happen naturally, can - and I think, over the last few decades before relations soured, has - improved LGBTQ acceptance there.
Also, amongst superpowers, China has a relatively good track record when in comes to using military force. They have had conflicts with neighboring countries, but it’s nothing compared to the wars the US or Russia (and USSR) have fought.
Finally (this one I don’t share, but I think it can be held in good faith), someone might not care about human rights all that much. For example, if you consider government-sponsored murders to be just the same as any other - not better, but also not worse - then even if you include Tienanmen Square and other murders by the government, the murder rate in China is still lower than most of the world.