Christianity has almost always defined a more narrow path than the population at large follows. A compelling reason other than “because it doesn’t include me” would need to manifest itself for Christianity to change it’s beliefs. A lot of christians run afowl of these beliefs.
Christians have beliefs that do not include out of wedlock sex, and Christians believe that marriage is between a man and a woman. I don’t think an organization is necessarily anti-lbgt if it supports true christian values and and applies those values equally to everyone. I after doing some research I am conflicted on Chick-fil-A and their charitable giving. I don’t think it matters where this guy eats, even if he does post it on twitter.