However, is there really no other model than these two, i.e. being 100% the product vs. paying the "full price" of the search?
Do people really use web search that little? According to the stats Kagi shows me, I make about 50-100 web searches every day on average.
I guess the problem probably has to do with the value of the GPU cycles being lower than the served content. This is most apparent in the case of AI; e.g. if the mining lasts as long as the session, and the server runs 2 GPUs while the user is only running 1, then you can’t complete the “payment” unless the mining continues beyond the length of the session.
Though training data sets based on private information about people are worth more to them, so they focus on that.
That lets them do things like run crooked ad auctions that screw websites and advertisers, intentionally worsen search results exactly enough to maximize profits, and other stuff that came out during their trial.
That problem has been solved for anybody who wants it solved, through Apple Pay and Google Pay, or even the built-in feature in the browser for remembering credit cards.
Normal people absolutely would not accept websites hi-jacking their computer to mine crypto and hardware manufacturers like Apple would swiftly implement measures to protect users from those freaks.
And no, there is only those 2 solutions.