V2Climb, there is no reason why an aircraft can not take-off with yaw damper(s) engaged and still have pilot inputs to the hydraulic nose-wheel steering via the rudder pedals. This is in fact exactly how things are done on most FAR25 aircraft. Yaw damper rudder inputs are not an input to the rudder artificial feel units on any aircraft I know about.
The 146 does not have rudder pedal control inputs to the nose wheel steering for the same reason that it has so many other unique features...because it is english.