The Cirrus had to go through full spin certification in Europe. From people I have talked with who have spun it, it's tough to get it into a spin and very easy to get it out.
Your basic premise is correct. Just because an airplane isn't certified to spin doesn't mean it won't recover. As far as singles go, they had to recover from (IIRC) one turn whether they are certified or not.
Beech did spin testing on the Duchess and found that it could recover from a wide variety of spins in a wide variety of loading conditions. NASA did testing on the 172 and found that you can load it such that it can't be recovered from a spin. Granted, it's WAY outside the utility category, but it can be done.
