It's like how some soccer teams have so much more money than other teams, making it almost impossible for smaller teams to keep up. Youtube doesn't have a responsibility to be neutral simply because it is extremely successful. They have the right to express their views in any way that they want, just like you and me. If people don't realize that, that is on those people. You can't blame YouTube for their ignorance.
Oh I don't disagree with you at all on that point. They do own the company. And it is their rules that govern the platform.
But here's the deal: (BTW, I'm a YouTuber myself, so I'm well aware of the rules that surround the platform, as well as much of it's inside workings.)
When YouTube was first started, ALL of these people were basically invited. They were told it was an open platform and all views (except illegal things like child porn, financial scams, etc) were welcome. People spent thousands of hours building their channels, their audience, etc. Their work, in return, is what drives the economy of Google. Google sells ads, and everyone gets paid.
In denying a platform, either in presence, or monetarily, YouTube has now betrayed many of the people that helped make it a commercial success. If there were actually formal contracts in this situation, in many instances they would likely be facing "breach" lawsuits. So while what they are doing in censorship may be technically "legal" (tentative, at best.), to do what they are doing is first and foremost highly immoral, and at very least, a significant betrayal of trust. You can't change the rules of the game mid stream and call that fair.