Yes, my point wasn't that it could never be achieved but that LLMs are in a completely different category, which we agree on I think. I was comparing them to humans who have trouble with critical thinking but can easily spot AI's hallucinations to illustrate the vast gulf.
In both cases I think there are almost certainly more barriers in the way than an education. The quest for a truthful AI will be as contentious as the quest for truth in humans, meaning all the same claim-counterclaim culture-war propaganda tug of war will happen, which I think is the main reason for people being miseducated against critical thinking. In a vacuum it might be a simple technical and educational challenge, but the reason this is a problem in the first place is that we don't exist in a political vacuum.