Maybe it will be analogous to steel. For most of the post-nuclear age, steel has been contaminated with radionuclides from atmospheric nuclear weapon use and testing. To get "low background" steel you had to recycle steel that was made before 1945. Maybe to fact-check information we'll eventually have to go to textbooks or online archives that were produced before 2023.
(Steel contamination has slowly become less of an issue as most of the fallout elements have decayed by now. Maybe LLMs will get better and eventually the hallucinated "facts" will get weeded out. Or maybe we'll have an occasional AI "Chernobyl" that will screw everything up again for a while.)
Because of llm Internet we have today, I already do go out of my way to find books and information that I can audit were written by a human before GPT.
(Steel contamination has slowly become less of an issue as most of the fallout elements have decayed by now. Maybe LLMs will get better and eventually the hallucinated "facts" will get weeded out. Or maybe we'll have an occasional AI "Chernobyl" that will screw everything up again for a while.)