Flight Safety,
Why do you say the aircraft has a spin problem????
I think the important sentance out of the manual is:
"While the stall characteristics of the SR22 make accidental entry into a spin extremely unlikely, it is possible."
I have never flown that aircraft but it sounds to me like it is extremely hard to get the thing to spin so it is probably extremely unlikely that a pilot would ever encounter one if they dont grossly mishandle the aircraft. Personally I would rather fly an aircraft which won't generally spin than one that does so easily - a stall warning and nose drop (without spin) on the turn onto final approach is generally not fatal - a spin at that altitude even in a machine with good spin recovery may just be.
A lot of my flying has been in gliders and quite a few have spin characteristics that would be perfectly described by that sentence so I suspect that maybe the SR-20/22 is similar.
In one of the gliders I flew the ONLY way to get it into a spin was to start with a climbing turn with high nose up attitude (no power of course

) - just before the stall you then needed to apply full rudder in the direction of the turn and full opposite aileron and full elevator and get the timing exactly right otherwise you would just get a gentle stall.