I agree in general terms JF, although I can't think of any aircraft I've spun that really needed a full 2 turns of pro-spin again to ensure recovery. If all else fails however, it would certainly be sensible.
And on a whole new subject, whilst I agree with you John that a parachute is a bloody good idea when spinning, how many people actually bother during routine (as opposed to test) spinning work?
There are plenty of aircraft that will recover from the spin if you release the controls - just expect to get kneecapped!
G