About the gender-changing stuff - yes, they do. Glad you spotted that. Russian TV runs with that narrative for months on end, like they do with a lot of the west's issues and mistakes, especially mistakes made for the sake of equality and inclusion. They love to show that freedom is the work of Satan.
You remember when Nancy Pelosi and a few of her sidekicks knelt before some Black people, their way of apologizing for slavery and White Privileged? There's a video of that, and Russian TV played it while their most beloved propagandists said "If you move to America, their laws say you must genuflect to every Black person you happen to meet."
And believe me, Russians are deeply prejudiced toward non-Russians, especially dark-skinned ones.
I wish westerners (especially Americans) were more careful about this kind of crap, like taking a knee before certain races, looking away during the national anthem, protesting athletes for praying during a televised game. But we do have the freedom to do these things, and it would be self-censorship if we refrained.