Yes it is a broad thing, and yes government and private censorship are not the same, but they are both censorship, at least according to the wikipedia and ACLU definitions [1,2].
And given the volume of posts censored and users banned by social media, where most public debate happens these days, most censorship is now by private companies.
[1] https://en.wikipedia.org/wiki/Censorship
[2] https://www.aclu.org/documents/what-censorship