Not only would it be more convenient for you, to focus on bits of the story you're actually interested in, the newspaper could collect analytics on what parts of the story you're interested in, and suggest further articles, and highly-targeted ads, based on that.
Imagine you see an article about Christopher Hitchens accusing Henry Kissinger of war crimes, and Kissinger is wearing a smart suit, and you dive in to find out more about his couturier. The click-through rates on high-end clothing ads would be vastly more.
Though, to take the opposite tack: would this encourage newspapers to turn into something like mesothelioma blogspam? Writing about something, only because the ads associated with it are profitable, instead of because it's a Fact Worth Knowing?