I'll try again. A spin occurs after reaching the criticial angle of attack, wherein one wing is stalled more than the other wing, due to a state of uncoordinated flight at the point of the stall. This agitated state induces a spin, with an axis very close to the center of gravity.
If you have a perfectly rigged, perfectly trim tabbed airplane, and perfect coordination with calm wind, you ought to get a power off stall, then if you hold the yoke in your lap and keep perfect coordination, it will bob around, maybe tail slide a little, but will not spin unless something agitates the stalled condition.
I'm guessing you, like everyone else are not perfect in technique, nor do you have a perfectly rigged flight school airplane. Under power off stalled conditions, attempting to stay coordinated best you can, it is not unusual to get a wing drop. If you continue to hold the yoke back and not recover, it may continue to spin. This is regardless of where the ball is. An airplane with a bent rudder trim tab, bent airframe, slightly asymmetrical aileron rig/flaps will respond to that added drag.
I've flown airplanes that you stall with the ball centered and they stall wings level straight ahead. I've flown others that will spin smartly to the left unless you keep the ball 1/2 out of the box! The physics behind it say, all things being as the engineers intended, a coordinated airplane in a stall can't spin.
Some of the aerobatic acts demonstrate this well in their tail slide and falling leaf stalls. It can't start to spin unless a flight control in the airstream aggrivates the stall.
In an aside note, I never called you a whiner. I said you needed more experience on the subject. Accepting your weaknesses and trying to improve on them is part of professionalism. Making statements like:
"Obviously I am very ill-advised on the subject and the sooner I can leave this profession the better as I am obviously dilluting the talent pool with unqualified pilots."
....these statements do not help you at all. Seriously, you've got to be a bit tougher than this, if you are getting riled up by comments on a message board. People were responding to the attitude they percieved. Re-read your own posts and think about how your words came across.
CFIcare