Here's an idea. Why not implement an ad tab that combines search with ads. So you can search for ads. It would be like a micro-store, or one of those old mail-order catalogs. Or those late-night infomercials that took over a whole channel for a few hours after 2am, when regular programmes ended. If I am looking for a new phone, i can browse the ads first. If that fails I can go elsewhere.
I just think that the concept of intruding into my frame, via embedded ads or notifications, is distraction I simply do not ever want.