If you act as a conduit for certain types of speech, you're liable for that speech.
There's some merit to that position, but things like adding a fact check (which you might or might not agree with) do not incur any sort of civil or criminal liability. You make good points, but we should also engage with the reality that the president and his supporters are demanding a quality of representation/protection for their political views that they don't have any particular entitlement to, and for which no mechanism currently exists in law; it seems (going by the general tenor of their arguments over the last few years) like they want to bring back the 'Fairness Doctrine' that obtained for broadcast media up to the Reagan era to create some protected space for their viewpoint.
There's some merit to that position, but things like adding a fact check (which you might or might not agree with) do not incur any sort of civil or criminal liability. You make good points, but we should also engage with the reality that the president and his supporters are demanding a quality of representation/protection for their political views that they don't have any particular entitlement to, and for which no mechanism currently exists in law; it seems (going by the general tenor of their arguments over the last few years) like they want to bring back the 'Fairness Doctrine' that obtained for broadcast media up to the Reagan era to create some protected space for their viewpoint.