The one I used to fly would sometimes stop, but not always. I put it down to the unusual forces messing up the carby operation - carburettors rely on the acceleration being substantially 'down' to work properly. It will also cease producing power at the top of a stall turn, and under negative G, but in the latter case airflow will keep the prop windmilling. As an aside, the spin does get a bit more wound up/interesting past (from memory) 4 turns or so - that was noted in the flight manual in aus.. not sure elsewhere.
Generally, the other a/c I've spun don't stop, but they're all injected.
Sure Backpacker will be along shortly..