This is not inherent in the LLM though. Society will adjust to it after learning some very predictable (and predicted) lessons, just like it always does.
As the other commenter said, and I would extend that to be even more broad.
Humanity has developed few abilities to escape from ancient things like group think or propaganda (since long ago in the form of stories and unproven assertions about one's own group and others).
That may very well be because there is no advantage - having a cohesive group is more important than "seeing truth".
That would mean that there will be no adjustment in the future either. "Truth" does not appear to be all that important to survival and procreation I think.
society hasn't even fully adjusted to social media yet
Will it? Media literacy is in crisis, and we’ve had the printed word for centuries. I’m much more convinced we will continue to believe “magic box cannot lie” than somehow develop a notion for when to trust the coherent nonsense generator.