I wonder why brietbart and Washington post are filtered so much?
To be fair, it is biased, but then so are most outlets one way or the other: https://www.allsides.com/media-bias/ratings
(This isn't to say that other major media outlets don't have problems with accuracy. But the magnitude is very different.)
Also, as an aside. What is a "false claim"? If it's a claim, they're asking you to believe it, which means they need to motivate it and provide details to back it up. Seems precisely where all the media generally is (including CNN/BBC/etc), pandering to peoples' bias without saying anything factually incorrect.