While this is a nice feature, needing an account (nevermind paying) to then only get a meta search engine will prevent me from ever using it.
I already spread my searches across at least four different engines (Bing, Ecosia, Startpage & Yandex), so no single provider has a complete profile of all my searches.
I certainly won't be paying to hand over my data.
They do offer a mostly anonymous search via the privacy pass. It generates tokens to prove subscription without providing account details. I believe it changes token every session, but it might be every search.
Mostly anonymous because even if they don’t know your account, we all know they can still track your fingerprint.
Keep in mind I have drank the Kagi koolaid, so I’m a bit biased.
I don't think your strategy is as effective as you think it is for protecting your privacy online. You should also read Kagi's privacy policy before implying Kagi would harm your privacy model.