I missed the previous story on this or I would have commented on that when it was current... censorship doesn't necessitate government involvement. The point of censorship is using some form of power to suppress speech. In the US and many countries, there are laws against the government doing this to some degree. In the US' case, the Constitution defines checks on the US government intended to prevent censorship. The reason this applies only to the government is because that was the scope of the Constitution, not because other sources of censorship are somehow perfectly acceptable.
The problem with censorship is not "the government doing it," the problem is speech being suppressed. The government is often uniquely powerful and can suppress speech better than most, but it's far from the only entity that can do so. Power can take many forms, but generally speaking the things people fear are physical harm, financial ruin, captivity, threats against family, etc. The government is not the only entity capable of making these sorts of threats and following through on them. I believe using any of this sort of power to suppress speech in any context is unacceptable. Now, I do think the nuance of what speech is is important -- I'm using the term "speech" but I do think certain things should be excluded, like many of those things that are excluded under US law (defamation, credible threats, criminal incitement, etc). But stupid and hateful opinions based on false information should be met with truthful refutation, not threats of harm or ruin.
While I disagree with the Trump administration on a great many things, and I find their motivations suspect, and I certainly think that they only care about protecting speech that they agree with like a great many so-called "free speech activists" often seem to, I do find myself in agreement that, in principle, if people outside the US are trying to use some form of power to suppress the speech of US citizens, that is something the US government should be pushing back against as the representative of the US people.