In Alabama, no difference is made between loaded and unloaded carry. If you conceal an unloaded gun (or more likely have an unloaded gun in your car) you need a permit. If you want to carry open you may run into trouble from uninformed LEOs or antis, but it won't be because the weapon is loaded.
Poor California only allows unloaded open carry, from what I understand. The antis there fuss because the gun owners can have a loaded magazine in their pocket.