Ok, thanks for the clarification.
Let me also clarify: I am absolutely not denying that Kagi uses Googles index.
I am just pointing out that for some reason when I search with Google I get lots and lots of results for things I didn't search for. For a while I kept them away by sprinkling doublequotes everywhere but the last few years, no amount of double quotes or even the verbatim operator works anymore.
With Kagi however not only does doublequotes work (for now at least), - I usually don't even need to apply them, my queries work just like they used to do in "old" Google back in 2009.
That is what I pay Kagi for.
I can be totally open that for what I know the reason might be as simple as the fact that Kagis API access gets results directly from Googles search API without passing through what I think of as a "search broadening" function and without applying A/B testing experiments to the results that come back.
I don't care. I get my results.
And if someone come along and present a better alternative that uses only their own independent index, I'll be inclined to pay even more just because I'd love to see it. (I was a marginalia supporter for months and might become again in the future.)