There's another category of fables I'd call "religious fables". Those are ones that can't be falsified. Feels like your other examples fit in those. Religious people believe all sort of things in these categories. They're not really related to the factual reality. This is different IMO from your run of the mill conspiracy theory because those generally have enough counter-evidence where you can make a reason/logic based assessment of the probability of true vs. false. An analogy is flat earthers pointing to some "evidence" that in their mind supports the idea that the earth is flat while ignoring the bulk of evidence demonstrating it's not. Even if you do not have the ability to directly observe whether the earth is flat or not you can weigh the evidence. It's true religion and conspiracy often intersect. Religion by its nature is belief without facts.