Consider that Google actually became super profitable well before all the detailed tracking started. You grossly underestimate the synergy of "people searching for products" and "displaying ads". Everything else is an optimization.
You're describing Facebook... which is no where near as profitable as Google, in spite of much more invasive tracking.
If you never click an ad and use an adblocker so you never even see them, your traffic and your data just cost Google money. They may be able to extract some small amount of value by observing your behaviour and using those insights to improve their products, but they don't make any money until someone pays for an ad.
I agree the café analogy isn't perfect. I was just pointing out that outsiders who don't understand what's going on may fundamentally misunderstand the transaction. You can still provide value to the café by sitting in their chairs if you liven up the place and give them feedback on how to make the place nicer.
But if customers never buy anything, the café goes broke. And people stop interacting with ads on Google, Google does too.