If your after a quick reply because you are just about to go out on a job then NO don't use CG on wool, its far too harsh ( I think the ph is 10 ) and should only really be used on very bad carpets. Saying tyhat I do know a couple of c/c ers that use it as first choice, but personally I only use it as a last resort.
if you're not too sure use a wool ms, Ultimate Master or Formula 90.