That might have been an additional benefit John but you would have to be in some serious turbulence to experience 2 G. I have had the CAC activate when mountain flying in very strong winds but that was in fairly extreme conditions.
One problem with the CAC was that it could runaway itself and they had to add a CAC cutout to the cyclic. The problem was to do with a 'wiper' style electrical contact for collective position that could be dislodged; I had this happen with a student conducting an AFCS out landing - all hell broke loose as we touched down (firmly but not hard) with severe vertical oscillations until the CAC cutout was pressed.
The G-meter on the aircraft registered +3.5G and -1.5G so I shut it down and it went home on a truck.