We are already heading towards a world where the advertising someone is exposed to depends on their expressed interests. Advertising the user wants is no longer annoying, it is useful and helpful. If advertising is so negative we could start calling directed advertising 'advice'.
I think a really good example of this is Amazon's "other products you might like." Bad examples are distracting banner ads, even if they are targeted. By distracting, I mean blinking, moving, making sounds, or otherwise drawing the reader away from the content they are trying to view.
Advertising is intrusive if the target would rather not see it. The only place where advertising belongs is in searches online because you are by definition looking for it.