Some are not satisfied with the stock COF autopilot.
It's performance can be modified to suit.
MS issued the A/P as a Proportional - Integral feedback loop system.  It can be modified to a Proportional - Integral - Deriviative feedback loop system or PID.
Proportional is the gain setting for the initial A/P correction.  The higher the value the greater the initial heading correction.  Jets higher than props.
Integral (integrator) is the gain setting for tracking corrections.  Smaller means closer to set course but more heading changes to maintain course.
Derivative is the averaging of errors to maintain set course.  Presently set to zero or off. Small values mean greater precision with less heading hunting.
There are also two boundry settings; integrator and derivative for both nav and glideslope.  Defines when PI(D) is active.  GS is zero or off.
So you can test for yourself by modifying in the acft cfg file.

Here is a good PID reference.  Go to page 5:

http://www.bonfiglioli.it/pdf/gvx/sis313/gvx1000_3.pdf