The model can describe the distribution of answers and their confidences. So there will not be one right answer for everything.
But if a LM looks up a topic and sees contradictory answers, and none of them is much more reputable, maybe it can still use that information to say it is inconclusive. Knowing a topic is controversial or not present in search engines is useful information. chatGPT would hallucinate, a search + chatGPT solution would refrain from hallucinations. It could also give references.
...in the context of the texts that the LLM is built on. Not in the context of the real world, where P('Peru is a country') = 1.0 and P('Peru is a cat') = #cats named Peru / #things in the world (or something).