My assumption would be such views were banned (at least on certiain widely viewed platforms or in schools) because a sizable section of society thought they were not only obviously false but also promoted harmful views, like neo-nazism in the case of Holocaust denial.
Those views are so badly wrong that they're anti-science and anti-history. There's no reason to give them credence.
Flat-earthism is a noncontroversial and extreme example of a belief that gets less believed when its proponents have the full benefit of free speech, but I think there are many more like it.
it's pretty rare for an ordinary person to have the opportunity to directly observe the curvature of the earth. I personally don't notice it when I fly commercially. you can indirectly observe it with binoculars on the beach by watching ships (dis)appear over the horizon, but a) you have to recognize the implication, and b) this can be confounded by a mirage/shimmer effect.
it's not hard for me to imagine that some extremely skeptical people might doubt that the world isn't simply how it looks: flat.
Just goes to show how powerful the conspiracy is.
It would change my bayesian priors. Not enough to change my opinion entirely, but it would move me more towards the middle.
Imagine flat-earthers were suddenly banned from all public fora. Currently, I'm able to see the arguments they make, and they're decisively unconvincing. If I knew a lot of people believed something that strange but didn't know why, it would absolutely be more convincing than now, when I hear the arguments. I think the same is true of any seriously badly-reasoned belief.