Why is supporting Yandex, who are involved in Russian politics and linked to the ruling regime, a neutral decision? That is very much a political decision, in the same way that working with US tech companies is a political decision. You need to decide what you're willing to tolerate and where your ethical lines are drawn; the alternative isn't neutrality, it's nihilism.
Solution: Kagi as it is, but with a ‘remove Yandex’ toggle. Even if it was a paid upgrade, I’d take it.