Even when Bing was specifically advertising their head-to-head site, every time I tried it, google won. I don't remember when this was -- maybe 2012? -- but I tried it at least a dozen times, and Bing didn't win even once.
Bing beats Google for certain queries - most notably when I invoke the AI chat.
And that’s going to be the challenge going forward. For non destination queries, that’s those that are not about finding a specific website, ai search is just so much better.
Kagi had a summerize search results at the top of their results page for a long time.
(Then again Google results today are so abysmal that it wouldn’t surprise me if Bing is now dramatically better.)