The stories are quite cleverly done. Today, for instance there was this story: http://www.usatwentyfour.com/white-house-press-secretary-josh-earnest-says-men-entering-girls-locker-rooms-civil-right/

The headline makes a stark claim, that Obama's press secretary said that men being able to enter the girls locker room is a civil right. The commentators erupted in indignation, saying if a man enters a locker room with their wife or daughter they would castrate or kill him. Of course, no one thought Trump entering the pageant changing room was the same situation at all!

If you look at the transcript of the press conference, there is a question about HB2 and then some blah blah from the press secretary about standing up for civil rights has been a priority of the Obama administration. He certainly never made any comment about "men" in general being able to do anything. To that audience, it would be just as upsetting if the headline said "transgender" but it pushes one step further anyway.