I didn't mean it in an ironic way if that's what you're referring to. I interpreted your statement to say "I don't want my search history connected to my credit card.", sorry if I misunderstood what you said.

If what you mean is you don't believe they are not connected to your account, I can point you to the FAQ entry on their website.

https://help.kagi.com/kagi/faq/faq.html#what-data-does-kagi-...