A search engine does not return a true answer. It returns a set of possibilities ranked by likelihood.
An LLM is just an aggregation of search results.
An LLM is just an aggregation of search results.
There is a world of difference between these two results.
Ultimately the problem is that a single repository of all verifiably true human knowledge just doesn't exist and both search engines and LLMs are copes to deal with this fact.