Also the Yaw damper input to the rudder could be considered as an Autopilot input.....well its in the same ATA chapter 22. Though I agree it is not giving any real flight guidance.
The yaw damper(s) are stability augmentation systems, not autopilot inputs. It's a two axis autopilot.
From ATA 22 (22-00-00):
The autopilot system is a two-axis (pitch and roll) system which operates
the elevators and ailerons to automatically maintain altitude, airspeed
and/or guide the airplane to designated locations and make automatic
landings.
The yaw damper system is a full-time, series-connected, stability
augmentation system. Airplane periodic oscillations (dutch roll) are
detected with a rate gyro. The rudder is displaced at the proper time
to dampen out any dutch roll before it can significantly affect the
flight path of the airplane. The yaw damper system and actuators are
connected such that no rudder feedback is applied to the pedals, thereby
allowing the system to operate independently without interfering with
pilot initiated rudder commands. The yaw damper system also assists in
making coordinated turns when the flaps are down. Two systems are
installed: one for the upper rudder, and one for the lower rudder.