This statement is ridiculous. Do you think you should be allowed to tresspass as well, since you have a CCW?
Businesses do not have "the right to disarm me", you, or anyone... They do have certain controls over their private property, the same way that you can control who enters your home with a weapon. If you don't like their policy, then don't give them your business. A CCW permit is not some "God card" that somehow means you can trample the rights of other people.