GP here, this is indeed exactly whT I was getting at, thanks for wording it for me; you put it better than I would've.

In this specific case I'd go one step further and say that even if it did a web search, it's still almost certainly useless because of the low quality of the results and their outdatedness, two things LLMs are bad at discerning. From weights it doesn't know how quickly this kind of thing becomes outdated, and out of the box it doesn't know how to account for reliability.