On a Hynautic system you can have multiple steering pumps. I have flybridge and salon wheel units and another for the autopilot. With some steering systems (Crowell) all steering wheels move no matter which you are using. Hynautic has internal valves to prevent this. However, hydraulic fluid is moving through the system, but only moving the hydraulic ram at the stern above the rudders. Your rudder angle indicator and/or autopilot feedback comes directly from a rudder post or from the bar which links the two rudders.
I think having all wheels move just adds friction to the steering. There is also a remote possibility that binding one wheel could jam the steering.
I know this because Fanfare was the very first Hatteras to have the then-new Hynautic steering. My uncle, Bill Grove, had seen the new systems and pursuaded my Dad to order it on Fanfare. A few years ago while buying spare parts they said Hatteras was now their biggest single customer. I think they expedited my repair!