Even the minor browsers, pretending to not be funded by ads at this point (while the VC capital is drying up) depend on one of the 3 browser engines, all of which are funded by ads.
Safari? Unless you're going to say that Apple gets the money for Safari through ads which, y'know, technically correct but disingenuous in this context, surely.
Google is paying Apple 20 billion per year in their search deal, which is 40 times more than what Mozilla takes.
Safari is funded ENTIRELY by Google's ads, also making a profit, and this is a fact. We can entertain a counterfactual, maybe Safari would still be funded without Google funding it with billions, but that's not the world we live in today.