We live a long way from Reading (it's in Berkshire, slightly to the west of London) so weren't in a position to boycott this food outlet, though would have had we lived in close proximity to it.
For a start, we'd rather not poison ourselves with this kind of junk food so that applies to just about all fast food outlets. No, we're not vegans or radical lentil eaters, but we do have a bit of a thing about eating healthily ourselves and not setting a bad example to our daughter.
I'm aware of the reaction against Chick-a-fil Reading from the LGBT sites I frequent. It was pretty vehement in places. Downright hostile actually. Those in our forum who live in that part of the country said they wouldn't touch the place with a disinfected barge pole.
With regard to their political / religious beliefs, well, I've mellowed a bit in recent years and will simply withdraw my custom from such places rather than join "direct action" protests. Bearing in mind what I said above about not eating that sort of s***e from any outlet, withdrawing our custom doesn't amount to much of a sanction, but it's the principle that counts.
If Chick-a-fil's owners lost a lot of money in their venture here then I'm delighted about that. If it dissuades them from ever coming back then I'll be even more delighted.
The more money they lose the better.