I don't think facts ever contradict each other, it's the stories people create to explain the facts that are at odds. These stories lead people to extrapolate other beliefs which they present as "facts", and it's an organic process of discussion and exposure that changes peoples minds over time.
I personally think aggressive fact checking authorities impedes this process, because people don't change their minds when faced with authoritarian power against which they are powerless, and because they are powerless here, they get angry and they disengage. This ends up which reinforcing their beliefs and now you've lost all chance of change.
Right. Imagine facts as data points on some Cartesian plane, and the narrative surrounding the facts as the curve fit to those points. The data points might all be sound, but by selectively omitting some, or by weighting their "uncertainty" higher or lower, you can fit just about any damn curve you want to them.
I also think that simple exposure to a narrative, whether it has any actual facts/data backing it up or not, is likely the primary driver of people believing it.
Now, consider that in most "free speech" societies, those with money can repeat things many orders of magnitude more than others. Over time, this results in influence. Thus, while many countries have "free speech," I'd say they don't have "fair speech." The two concepts complement each other, but one is not the opposite of the other.
I personally think aggressive fact checking authorities impedes this process, because people don't change their minds when faced with authoritarian power against which they are powerless, and because they are powerless here, they get angry and they disengage. This ends up which reinforcing their beliefs and now you've lost all chance of change.