>Are startup founders "special" in a way they do not use Adsense?
I don't find depending on Adsense for revenue great, good or healthy, but I presume for many small web sites there's no other option.
>Is the web not build / run by startups?
What is the Web? What is a start-up? If by Web you mean WWW, and by start-up you mean "new shiny online businesses which are perceived by lots of public as being cool and trendy and are funded by VC", then the answer is no.
We have WWW since Tim Berners Lee invented it, and it ran just fine before "start-ups" were a thing.