> I don't think the spirit of the original article (not your comments to be fair) captured this, hence the challenge. I believe we are on the same page here.
No. GPT-5 has a 40% hallucination rate [0] on SimpleQA [1] without web searching. The SimpleQA questions meet your criteria of "2-3 pages of text content. Unless 5.4 + web searching erases that (I bet it doesn't!) these are bullshit machines.
Specifically in the case where it can use tools - no it doesn't hallucinate. Which is why you are struggling to find counterexamples.