It appears that the Cirrus types NEED the chute, as it is part of their Type Cert Data Sheet, and there is an equivilent safty finding about spins, which are covered by 23.221. Here is the excerpt from their TCDS:
The whole TCDS is at:
http://www.airweb.faa.gov/Regulatory_and_Guidance_library/rgMakeModel.nsf/0/7a3e22e51d22377c862571c4005374f4/$FILE/A00009CH.pdf