Search engines don't claim to provide answers. They search for documents that match a query and provide a list of documents it has roughly in order of relevance.

If there's nothing answering what I was looking for, I might try again with synonyms, or the think documents aren't indexed, or they don't exist.

That's a very different failure mode than blatantly lying to me. By lying to me, I'm not blaming myself, I'm blaming the AI.