I would not consider bearing an unloaded firearm as "bearing arms". Unless you consider using it as a club but that is not it's primary intended function.Just remember boys and girls, the Second Amendment only protects your right to keep and bear arms. It says NOTHING about ammunition...................
The fact that it does not specifically mention ammunition is of little consequence and IMO any argument to the contrary would be shot down in flames if the issue ever came before SCOTUS.