Kagi is not a pro privacy company except inasmuch as they currently consider privacy to be profitable.

They are a would-be AI company who discovered paid search was a viable way to self-fund.

If you ask them what guarantees you have that they won't someday decide to sell your search history, their response will be "well, it doesn't make financial sense for us to do so. Now drop it" and ban you.

Here's a blog post someone wrote about this with examples: https://d-shoot.net/kagi.html