Most of the people that object to ads that interrupt content are objecting because of the interruption and not because of a fundamental stance against ads.
Someone else mentioned magazines. I would say that ads in magazines do not interrupt, and you'll also see that very few people fuss about them. Your average banner or search ad doesn't do much interrupting as long as it's not filling half the screen; not harmless but it's on the less bad end. Ads on radio and video interrupt quite a lot, and the really massive interruptions happen when video ads take over the screen during live streams and you miss whatever happened while they ran.