Google is not hosting your public content on behalf of any government.
Google is not hosting your public content on behalf of any government.
The point is, you look at the substance of what is being done or controlled, not the status of the actor as a private or public entity. That is what the analogy is used to explain.
The substance of what is being done, here, is regulation of communication between individuals over a communication platform. Downplaying it as 'not hosting public content' is inaccurate or at least of no moment. What's public content mean anyway?
If a significant amount of private communication goes through privately owned channels, it is reasonable that the private companies operating those channels respect democratic norms. It's unreasonable to dismiss any criticism as 'they are a private company', as that's beside the point.
I think that line becomes a bit more blurry if you're a student using your school-issued Google account.