Those pipes are just chromed steel outer pipes with a smaller plain steel inner pipe. They used the double wall pipes tp prevent bluing of the exhaust. The outer pipe acts as a heat sheild and won't get near as hot as the sindle wall pipe.
Wrapping the headers mau cause a bit more rust to form on the outer pipe but will have no effect on the inner pipe.
Originally the pipe wrap was used to keep the header pipes hot, this helped keep the exhaust velocity high, this improved performance somewhat on the hot rods of the 40's and 50's. Wrapping those stock header pipes won't change the heat in the pipe much at all but will look different.
Leo