I'd argue that the government is a "whole different animal" about as much as mules are a whole different animal from horses. The same arguments against government censorship hold true for corporate censorship. An idea should survive or die based on it's merits, not because someone with power dislikes it and wants it to die. That's true no matter if the power is in the form of an army, the police, another branch of the government, or if it's in the form of corporate lawsuits, products, lobbying, bribery, etc. If you're preventing me from saying a particular thing in something as broad as the internet, you're a tyrrant in at least one important way, whether you're a politician or a corporation.
Obviously the first amendment doesn't protect foreign citizens, nor does it apply to private corporations, sure. Which might be why Bennet doesn't appear to have mentioned it?