Should Newspapers Give Readers the Power to Hide News They Don't Want to See?

Recognizing that plenty of people, and perhaps Londoners in particular, are already sick of Olympics coverage, The Guardian is giving its readers the ability to filter news of the Games and see the normal Guardian homepage. By clicking a "Hide Olympics" button, an Olympics-news module collapses, bringing up the regular stream of Guardian fare. But what if a news site took this further? What if instead of allowing readers to block coverage of a sporting or royal spectacle, they gave readers a button to hide news from an ongoing government scandal, trial, or even, war? Would we want newspapers to say to readers, your choice on these ones too?