Well, this talk is more like the birds and the bees [0], right? It's not just about correcting misconceptions, but ensuring that folks are practicing safe habits as they go about their lives.
Letting people believe in the Basilisk is just like letting them have any other harmful religious delusion: They're wrong, they're injuring themselves and others, and they cling to the belief because it validates part of their worldview.
Edit: Single-sentence consideration: Newcomb's Paradox requires that the player can't simply flip a coin and reduce the predictor's accuracy from superhuman 99+% to a more typical 50%, right?
[0] https://www.smbc-comics.com/comic/the-talk-3