What you're describing doesn't count as checking the material to me. If I was tasked with double-checking AI research on a topic where I had zero knowledge, I would use a search engine to find some reliable-looking source that said the same thing as the AI.
If you find a second source, then you should be able to point at that page to day where you got it from.
If the fact is so esoteric that you can't find any reliable second sources, then you have to start questioning where did the AI get the information in the first place, and suspect that the facts were hallucinations.
To me, that's what you have to do to check AI. I do this process even if I am just googling something for myself and am presented with an AI summary that seems on-point.