As with many aspects of aviation, it is important to not assume that how your airplane performs is how all airplanes perform.
The Great Lakes recovers fine from a spin. Does not take two turns. A spin from 4000 AGL is not hazardous in that airplane. And parachutes are specifically NOT required when doing spins with a CFI (see 14 CFR 91.307 and the recent clarification by the FAA Office of Chief Counsel).
Assumptions and one-size-fits-all old wives tales tend to not be constructive.
Thanks,
Wes