Indeed. A flight manual will have the recovery procedure from a spin.
Even types not approved for intentional spins.
The certification test pilots define a spin as "a sustained autorotation at angles-of-attack above stall" per FAA AC 23-8C. That's all.
Types not approved for intentional spinning are only tested "to assure that the airplane will not become uncontrollable within one turn (or three seconds, whichever takes longer) if a spin should be encountered inadvertently". No need to discuss whether it is an incipient spin or not. If it is autorotating then it is spinning so use the spin recovery method. Only done one turn - may be an incipient spin - doesn't matter, that's all that has been tested and the test pilot tells you in the flight manual how to recover.
The people who write the spin recovery method in the flight manual use the above definition of a spin, nowhere in AC 23-8A does it even mention an incipient spin. An incipient spin is a spin so use the spin recovery method in the flight manual.
Cessna's Spin Document notes:
Note the use of the word "may"!
So you recommend simply centralising the controls if in an incipient spin? Before 2-3 turns? AC 23-8A states "Most airplanes will not attain a fully developed spin in one turn." When I demonstrate an aggressive unintentional spin entry with power and aileron it will be fully developed well before 2-3 turns.
By all means, if in an aerobatic aircraft and unintentionally enter a spin while conducting aerobatics and take immediate action (so very early in the incipient spin phase), centralise the controls to prevent the spin from developing - it is appropriate then.
In other circumstances, this acccident is a good example of what goes wrong when transitioning from a stall recovery method to a different stall recovery method with a wing drop to a different recovery method from an incipient spin then to a different fully developed spin recovery method https://www.atsb.gov.au/publications/investigation_reports/2014/aair/ao-2014-083/
Depends on the aircraft.
A type I flew recently stated that these 4 actions "must be carried out immediately and simultaneously. Power lever - idle. Ailerons neutral. Rudder - full deflection against direction of spin. Elevator - fully forward." That type is not approved for intentional spins so that is the required action when it is autorotating ... in the incipient spin phase. I wonder if the flight instructor in the fatal accident of that type knew of that when he was doing stall practice with a student as it is quite different from the method he was taught when he got his spin endorsement?