In my state, the holder of a CC Permit is not allowed to carry at any public gatherings (such as sports events etc), no public places where alcohol is served, and in no state or federal buildings etc.
Concealed Carry permits do have limitations on where the permit holder can carry.
If a local CCW law does not grant its holder the same rights as police officers, then I think this issue boils down to one of private property.
That is, the owner of the property is authorized to determine who is allowed, what objects are allowed, and what sort of activities.