While what you say is true, you forget a fundamental point of the Pilot: thanks to its double input, it can be fed simultaneously by two independent first stages! This is shown in some vintage photos of the time, and this is the configuration recommended by Scubapro for very deep diving.
This made it possible to obtain the incredible performances testified by the US Navy award, which were obtained in this dual-first stage configuration, solving at once the airflow limitations inherent with one-tank-one-valve-one first stage.