I downvoted you because this is not true. Watch YT logged out and you will discover it quickly starts recommending far right videos, recommending more extreme videos as you watch them.
As for "gender critical" and your following paragraph, people aren't being banned for simply misgendering people. It's intentional misgendering from hateful people, often as a final straw after many similar hateful actions.
And yes people are being banned for innocuous misgendering. And for saying only biological women are women. It’s not hate speech to say that.
Declaring things as true don’t make them true. Let’s try reasoning from first principles and acknowledging that principles actually exist. Amorphous relativism is a destructive force in society.
What measure of proof do you require?
ACM study: https://dl.acm.org/doi/pdf/10.1145/3351095.3372879
MIT Technology Review summary of the study: https://www.technologyreview.com/2020/01/29/276000/a-study-o...
NYTimes feature: https://www.nytimes.com/interactive/2019/06/08/technology/yo...
I used selenium to do exactly this. Start at a video, and do a breadth based search based on recommendations. No such preference for far right videos exist. It's frequently get into a hole of certain topics (e.g. first recommendation is on knitting, subsequent recommendations have a higher chance of being about knitting, and so on), but there was no substantial representation of right wing content. And it's not just me with a selenium driver. Other researchers have examined youtube and reached the same conclusion: https://arxiv.org/pdf/1912.11211.pdf