No, Chick-Fil-A has not caved. The media is just lying again.
It has recently been reported in the news today that Chick-Fil-A has backed down from their support for pro-family groups. Fortunately, these reports have turned out to be false:
Well, now it looks like this false story about Chick-Fil-A no longer supporting pro-family groups was cooked up just so the left could start smearing the company anew. Articles citing the false story are now being written to attack Chick-Fil-A for supposedly going against their word: