I think BEagle is thinking of a stall recovery in a transport-category jet, in which case he is essentially correct.
In a light aircraft, you have other considerations (propwash, secondary effects of adding power etc), and not adding rudder will simply allow the wing-drop to develop into an incipient spin. You don't use the rudder to "pick the wing up" (unless you are showing off!), you are simply limiting yaw, and the secondary effect thereof.
It wasn't so long ago that "rudder only" was taught in the recovery technique, and using ailerons was a complete no-no at the stall.
Anyway, if the CAA says "do it this way", you have little choice in the matter when renewing your licence...