They might disappear, but not without replacements. Hosted email, videos, photos, discussion boards, and search are all services that would exist with or without a business model built on ad money. I don't care if they are free or paid. But the fact is that the privacy-depraved model wins because it's provided for free to the eyeballs.
And yes, I'd rather have punch-the-monkey ads. I'd even go so far as to say that I'd prefer my search results and most content-provider's offerings not ordered and filtered based on my previous behaviors.