I would argue that it is the standardized training that is making the difference, not the chute. Cirri have ALWAYS had the chute. It is in the past few years, however, that COPA (and I assume the factory) have taken a much more aggresive pro-training stance. This is reminiscent of the reaction of the MU-2 community to its previously-ugly accident rate and commensurately-high insurance costs.
I have no facts to support my internet assertion, but I would postulate that in past years more Cirrus pilots were, effectively, tossed the keys, told 'yeah looks just like your Porsche from the inside, but you just grab the handle if you have a problem' and sent on their merry way. Full credit to COPA for addressing the problem.