local businesses cannot make legislation denying your CCW privileges (not rights), but can only request you not carry on their premises. They can not have you arrested because you are not breaking any law, they can only ask you to leave . Their insurance companies and accountants are pushing this to appease the Snowflakes and paranoia crowd, who also spend money in their establishments.
Which I believe is true for GA, and possibly many other places, but different states have different laws. Always worth checking when you go out of state.