RetiredF4;
As discussed earlier, the C* control law doesn't change at low speed, so the SS g rate command doesn't change to a pitch rate command.
The following quote from section 2.2.5 of the final report may be relevant to your questions regarding the change of gains with speed:
In the specific case of alternate 2B law, some coefficients used in the longitudinal flight control law become speed-independent and are set for the maximum speed for the aeroplane configuration (330 kt in clean configuration). This hardly modifies the behaviour of the aeroplane in comparison to normal law, but can nevertheless induce an unusual response dynamic when the aeroplane has an abnormally low speed for the configuration.
EDIT:: Another quote that may be helpful is from C. Favre's FBW - The Airbus Experience:
A homogenous law, ensuring aircraft behaviour independent of the flight conditions and, in particular, independent of the centre of gravity location, is achieved by tabulating the gains as a function of the computed airspeed, high-lift configuration and centre of gravity location.