There's a meaningful and important distinction between restrictions on speech that are enacted and enforced by private companies, and restrictions that are enacted by the government with enforcement outsourced to companies (that may be reluctant to comply).
Using the word "censorship" for the latter but a milder word like "moderation" for the former seems like a perfectly reasonable way to convey this distinction in this context, even if a dictionary might provide a broader definition of "censor".
Using the word "censorship" for the latter but a milder word like "moderation" for the former seems like a perfectly reasonable way to convey this distinction in this context, even if a dictionary might provide a broader definition of "censor".