I've asked a number of times on HN threads for specific examples of searches that Kagi performs better on than DDG or Google, and never gotten a solid reply. It seems what people like about Kagi is the customization and surrounding tooling, but the actual search quality is about the same or possibly worse. That's cool, but I don't find it worth the cash personally.
It’s going to be hard for people to give an answer to that because if you get an answer you like on Kagi, you’re not going to also search on Google.
You basically need someone with a Kagi sub to commit to using Google, and trying Kagi whenever Google fails.
I’ve got a specific instance of something a few days ago where I searched on my wife’s phone for and neither the canonical website or the wiki page were anywhere in the top results for Google, whereas they were IIRC top-2 results on Kagi. Apologies though, I can’t for the life of me remember what the search term was.