To be fair, nostr:nprofile1qqsrgyzdaheuckfksqkgxz9r6qys72zh6j46f69hyzkv4a4j4vzfj6gpzdmhxue69uhhwmm59e6hg7r09ehkuef02xv6p6 positions their product as "better search results, no search ads". They don't claim to be a complete privacy platform in every regard.
Kagi's blog post on a privacy feature is not available over Tor.
https://blog.kagi.com/kagi-privacy-pass
And, to top it off, Kagi still hosts their stuff using Google. Yes, I'm sure their customers all feel very safe from Google's prying eyes and are totally fine with switching away from Google only to have their money still go to Google. 🙄