Yes: https://kagi.com/privacy

They also have options for anonymous search.

I’m curious about how well they enforce that, and how as a European on European servers they do more, but I wil assume it’s all transparent to state actors. As are all others.

The benefits are in corporations and being monetized.

Bad news for you, I do work in cybersecurity (for over a decade), and I don't search for "hot singles in my exact address", so a bunch of k8s error message searches and the odd banana bread recipe won't identify me in a while.

yeah you know that's how most of them become billionaires, by being altruistic and always putting others before their own needs.