Surely the big thing in any recovery is to first make sure the plane's wing is flying - then sort out the mess. That may mean forward elevator if the wing is stalled, but if it isn't, then leave elevator neutral - the next thing to sort would be the spin itself - i.e. with rudder. Once that's sorted, the next thing to sort is the fast approaching hard stuff with the elevator!
In an open cockpit plane I think this tends to be instinctive - but with enclosed cockpits it's not always easy to tell what's going on with the fluid stuff when you're doing something extreme - so the POH specifies a proven technique that will get you out of trouble, and not further into it...... so IMHO best go with the POH....