Spins aren't in the PPL syllabus, and shouldn't be flown without a parachute and a means of abandonment - such as jettisonable doors.
But if a PPL is flying aeros, and thus should be wearing a parachute routinely in a suitably configured areoplane, and also likely to end up in a spin from time to time - yes, they should.
Interesting... at the end of my second lesson on stall recovery my instructor demonstrated two spins. Is this reckless without the precautions mentioned above? It seemed almost routine at the time.