All single engine aircraft certified in the normal catagory and not approved for spins must never the less demonstrate that a safe recovery can be made from a one turn spin. After one turn you are on your own. A good example is my own personal airplane , a Grumman American AA1B. It will recover after one turn I am told but numerous accidents have conclusively demonstrated if held in a spin past one turn, it will go into a unrecoverable flat spin mode. With respect to the PA38 Traumahawk , I flew the first one imported into Canada in 1978. It was a low serial number machine
with no mods. The spin characteristics were pretty frightning and shortly thereafter the wing was modified with stall strips which helped alot. I think the main propblem with this airplane was its very poor build quality. Most of the AD's address structural problems caused by trying to save money on the production line.