But also, if it's general interest that makes sense as well. Say an ad for BestBuy while browsing the NYT. That's one of the benefits of well trafficked sites - you can reach a pretty wide swath of the population.
In this sense I would like it if site took advertisement more seriously. Asking feedback, allowing personalization, selecting a few "endorsed" ads (as a quick and cheap Boolean review).
For Google and Facebook it doesn't make sense, but for a newspaper i would expect some selection on the ads they show.