So what is different with the design of the Cyclone AP/FD (other than it being FBW).....
The Cyclone cyclic control side stick is a unique trim configuration, similar to what is used on an F-16 and Airbus FBW commercial airliner. So basically, it is a simple spring to center joystick with zero position relationship with AP inputs. All other production FBW rotorcraft I am aware of (NH90, V-22, CH-53K) simulate conventional mechanical flight control AP system operation with stick movements.
Note, the Leonardo 609 and Bell 525 also incorporate AP systems that simulate cyclic stick motion, following encouragement of certification authorities.