tl;dr: you're paying for search either way. A reliable and secure open-source non-profit would be better but I'd rather be paying directly than use a "free" service which extracts an opaque and invariably sinister cost in perpetuity.

No one should have to pay for anything. We have enough excess that a gift economy is entirely feasible. Convincing folks of that, creating new systems to realize the possibility, and shifting from our existing systems, are all separate and difficult tasks.

In the current system I do think an independently run organization funded by the public (likely via taxes but possibly via private donation) does make sense though. In lieu of that, or something better, there is no useful internet search without payment. Using free search engines means either someone else eats the cost (which may work for small/local communities but isn't scalable without massive public funding and/or taxes) or the cost is subsidized a la surveillance capitalism and advertising.

Using free services run for profit extracts a cost that may be difficult to measure but there is no doubt it exists. When for-profit companies obscure that cost I am compelled to assume it is because they estimate I would not be willing to pay the asking price for their services.

Adjust this relationship to the magnitude of entire societies enveloped within, and seemingly dependent on, those services and the choice to personally decouple from that paradigm is an incredibly attractive option. I think, if one has the means, it may be ethically compelling as well (but that's a different conversation).