I totally agree you can bad mouth them all you want. Well, as much as Andrus says you can here at least. :)
But part of this is practical. YouTube has to have an automated system to filter content because of how much content they have from so many sources. I don't think we even know yet if this was an auto filter or they purposely took it down. But, I can see why they would want to take down anything that was a controversial medical opinion. From a legal standpoint, they don't want to get sued if a bad legal opinion on their site gets someone injured or killed. They would probably win any suit for that (it will depend on the jurisdiction likely), but they would still have to pay all those legal fees and there are places where it doesn't matter if a case is dumb or not, it you get in front of a jury you lose, so they would likely have to settle many bullshirt claims.