The recent increase of people who believe the Earth is flat seems to be direct evidence against your claim. Scientific and information literacy is not a widespread skill.
How so, exactly? I don't see any reason to think that the truth tends to prevail, except in processes where people are genuinely interested in discovering the truth. In fact, if you're not interested in discovering the truth, I would say that the truth is mostly powerless.
An example of how the truth is stifled in China because you can't discuss an historical event.
https://www.pri.org/stories/2016-06-03/how-china-has-censore...
If more people believe the Earth is flat today versus 20 years ago, the truth is not prevailing: https://www.economist.com/graphic-detail/2017/11/28/americas...