I found the opposite, actually. All of ChatGPT queries that were "enhanced" by web search were invariably worse than without. Usually it gave up. Sometimes it clicked on ads. I don't think I ever asked anything that was enhanced by the web access.
It's so very bad, I've assumed they nerfed it because of issues they were trying to avoid. Very alpha.
Sometimes 100% of the "Browse with Bing" experience was "Click failed" and "Reading content failed" followed by "...since my knowledge cutoff in September 2021..."
Yeah, it takes forever to produce a mediocre result. Bing Chat and Kagi’s FastGPT are much more usable. Or even Kagi’s Quick Answer and Summarize feature on search results.