Of course youtube can remove whatever it wants, it's a private company. This doesn't mean that people can't find this objectionable, and it doesn't mean the only argument has to be "well, just use another company/site/provider".
I think people here are -reasonably- concerned about YT censoring particular information and the precedent it sets. In this case you and I might agree with YT's stance. Will we agree the next time YT decides to take a stance and censors a topic?
However, a lot of people making content on yt are facing demonetization due to the same thing: advertiser pressure. For things like swearing, any sort of violence, etc. A lot of people have issues in some game communities for example.
So I don't think relying on the benevolence of Coca-Cola is the best solution either. Until relatively recently it would not have cared about appearances regarding LBGTQ+ issues either.
Black people and pedophiles don't deserve the same legal protections to have access to a playground or a private school.