It doesn't practically matter whether the ads are from google. They're shown on a third party site, not using google won't get rid of them, only not using that site will (or installing an adblocker...). Users very reasonably blame the site, who have direct agency to remove the ads.

IIRC this dilemma was one of the things that was driving the Google antitrust case that unfortunately will not result in divorcing search from ads.