Hey Three-Twenty. It's not just that you have protections in normal law. Even though the end result is the same, in normal law, the roll input with the stick signals the computer to apply a certain rate of roll, not a certain deflection of maximum of the control surface. Pitch is at all times g protected. And very important: Flight path stability. Increase the thrust inlevel flight and it stays where it is and keeps on going where you pointed it. No pitch up like in conventional planes. Point the nose to a 5 degree climb and it stays there and does whatever it has to do with the flight control surfaces to maintain this vector.
Maybe I understood you incorrectly, but there's more to normal law than just limit protections.