In some states it DOES. In those places you can be in big trouble if someone catches a glimpse. Florida use to be that way but they recently amended the law.
I'm not an expert on this, and I will defer to your apparent knowledge on the intricacies of the law, but quite honestly both the first & second statement make no sense at all. I wonder if this is NOT a correct interpretation of CCW.
Otherwise CCW is really nothing more than thinly disguised gun control law against carrying any concealed handgun. Because the moment you would pull out your concealed handgun, even at a gun range, you would be guilty of breaking the "concealed aspect of the law". And woe be onto the poor sucker who ever drew his concealed weapon in public to defend himself. You're guilty the moment you pulled out your handgun, especially if the perpetrators broke & ran away. Now you're left holding a handgun that 1 or more bystanders have seen.
I am not an expert on the intricacies, but to me this interpretation of CCW would be very hard to enforce or uphold even by liberal courts.