> I am also convinced that the people here reporting that the overviews are always wrong are... basically lying?

https://en.wikipedia.org/wiki/Availability_heuristic

No one remembers when AI Overview gets the answer right (it's expected to do so after all) but everyone has their favorite examples of "oh stupid AI."

That's incomplete, because another "nobody remembers" is when the hallucination differs from reality, but the reader doesn't promptly detect the problem and remember where they got it from.