I believe the Chick-fil-A folk are actually Evangelical Christians and not sure why they would be identified as anti-gun. I’m only guessing here, but I suspect the opposite is true.
I love me some Chik-Fil-A. They are definately not anti-gun...so not sure why they were even brought up. And this is true, they are also not Catholics. Gotta love misinformation on the Internet.
Anyway, about Chik-Fil-A...I go a couple times a month and carry. Have never seen a sign. Even saw a group of non-cops open carrying there a couple months ago and not a single worker even batted an eye at them. This is one of the many reasons why they get my business.