I feel like there are probably some ad based search engines which are privacy and service oriented, but in general even for those there remains a misalignment problem. Hence if I don’t want to be a product now or in the future, what good search engines are there that I can pay for?
https://marginalia-search.com/ is pretty great for a different approach to search. While not exactly what you were asking for since its free, you can definitely pay via donations if you find it valuable.