> but good, evidence based information is also now easier than ever to find.
This assumption does not really work when "the echo chamber" of algorithmic curation and optimization for attention does not expose you to ideas outside of your bubble. It's also true that access to evidence based research, say in open journals, is now easier than ever; that doesn't mean I have enough knowledge to properly understand their implications. That significantly limits the permeability of good, solid information compared to garbage.
It's not at all related to the topic at hand, but Japan recently liberalized their power plan so that consumers can choose who generates the power; a study on Japanese public perception of energy liberalization[0] found that over 30% of these that did not consider power plan switching and over 20% that seriously considered it decided to not go through with the provider switch because they couldn't find enough information or had a hard time understanding. It's just a singular data point, but I think the actual hurdle to absorbing the information as opposed to accessing it is a lot higher.
Things like COVID safety or the shape of the Earth is far more personal and complex (once you go down to quality, evidence based information) than power plans, and they lack the financial incentive that switching power plans have. What makes you think that these people in a bubble would venture out to find quality information or listen to an outsider pointing out just how wrong they are?
Unlike the GP, I'm not personally in favor of censorship, as you say, the freedom of expression and information has far too much benefit to restrict mindlessly. Rather, I want to go back to the pre-"algorithm" days where quality content was spread via word of mouth and not through some engagement metric.
[0] 10.1016/j.erss.2017.09.026 - It's just something tangentially related that I've read recently.