The AI stuff is entirely optional. I've been using Kagi for about four months and I forgot it exists. I haven't been nudged to use it even once. I think they're just buying AI service from someone else, not training their own.

So far they've been good about remembering they're providing a search experience as their product and not chasing shiny tech press objects. I find it does a consistently good job of just finding what you tell it to and otherwise just getting out of your way, which is honestly all I want a search engine to do.