Are you suggesting that certain countries would describe LGBTQ activities as "terrorist and violent extremist content"? I don't think they would need to, they have special anti-LGBTQ laws already.
Given that Saudi Arabia considers atheism to be a form of terrorism already, I don't see it as particularly far fetched. The reason to do so is because it allows making misleading claims for propaganda purposes.
Correct and now they have the moral authority and excuse to continue doing it. That sort of support, especially when you can say from a podium "The world is behind us in this effort" is a powerful tool for governments to use. Imagine being gay or lesbian and hearing you might as well give up because the whole world is against you.