Well said Dan, and touches on one of my hobby-horses. The RAF, for example, wisely teaches controls central as an initial loss of control / incipient spin recovery. Then IF this didn't work (or of-course, you've deliberately spun the aeroplane) go into the TYPE SPECIFIC spin recovery actions.
Two common lines of thought however annoy me - one is the concept of a common spin set of spin recovery actions for all types, the other is the thinking that in an inadvertent spin one should immediately (thus whilst still presumably in the incipient phase) use a full spin recovery - wasting valuable time and height working out which way the aircraft is spinning, or worse still applying a large rudder input to a stalled aeroplane which is still deciding whether to spin or not.
G