This is what the "lossy compression" and "stochastic parrot" layperson models do not capture. Nonetheless, people will lap them up. They want a more comfortable understanding that lets them avoid having to question their pseudo-belief in souls and the duality of mind and body. Few in the public seem to want to confront the idea of the mind as an emergent phenomenon from interactions of neurons in the brain.
It is not simply regurgitating training data like everyone seems to want it to.