The arguments in this thread all boil down to , basically : "YouTube is private, and thus can do what they want."

I agree, but this doesn't bring mention to the real point :

Messaging and telecommunications groups that are privately held are de-facto responsible for national presidential public messaging in the United States, and this gives them legal leverage to commit whatever kind of censorship they care to.

This doesn't call for action towards the censoring body, it calls for public action towards the creation of a publicly funded messaging option for government officials and other official channels that should be held to constitutional standards rather than corporate private standards.