Earlier quoted context omitted.
Certainly not. Censorship is suppressing views. Fact-checking is identifying false information. They are only the same if you are only putting out false information. Then the fact-checking looks like censorship. You will say, well, the fact-checkers tend to get political. Nevertheless, they're still fundamentally different than censors.
> Fact-checking is identifying false information. Right, identifying information as “false” is censoring it on Facebook because it suppresses it.
The difference is whether it is removed for being wrong versus for political/ideological purposes. You would not call a newspaper editor who refuses to publish dishonest journalism a censor, would you?
Obviously there is a stance going around that 'calling things wrong' is being done for political/ideological purposes, but that doesn't make fact-checking censorship _in principle_.