I think the Snopes link indicates the grandparent's point well, if not in the way that was intended: words being subjective and imprecise, the fact checker has many degrees of freedom. If we allow fact checkers to censor content, they will use the linguistic degrees of freedom to censor selectively to the benefit of their political bias. (Your terrorist is my freedom fighter, your demonstrator is my rioter, your just cause is an imposition on my freedoms, etc.)
Snopes was careful to show degrees of freedom with this fact check, but most social media fact checkers will not be so careful. Social media fact checkers will have a tendency to censor in the direction of the currently-in-power political party, because that party is able to set regulatory policy on social media companies. So the only thing which will prevent censorship from blowing with the political winds is to not have centralized censorship.
Community notes (as implemented at Twitter) require agreement of multiple people who are not in agreement on issues to agree on Notes. I am cautiously optimistic that it may be possible to correct wrong speech with more speech in a nonpartisan manner.
Snopes was careful to show degrees of freedom with this fact check, but most social media fact checkers will not be so careful. Social media fact checkers will have a tendency to censor in the direction of the currently-in-power political party, because that party is able to set regulatory policy on social media companies. So the only thing which will prevent censorship from blowing with the political winds is to not have centralized censorship.
Community notes (as implemented at Twitter) require agreement of multiple people who are not in agreement on issues to agree on Notes. I am cautiously optimistic that it may be possible to correct wrong speech with more speech in a nonpartisan manner.