If anything, they did the opposite. The LGBT groups will continue to despise them and call for boycotts until CFA sheds every vestige of Christianity. Many such groups have already announced "this changes nothing!".
They already had a huge customer base of people who love the food and service and lots of Christian and/or conservative supporters who went out of their way to eat at CFA. There were probably even a lot LGBT types who are not political who ate there because they like the food. Now, they have alienated the Christian/conservatives while probably gaining nothing from the homonazis. It's a FAIL.
The winning post.