A friend of a friend of a friend in the U.S. lost part of the elevator whilst spinning a PA38 a couple of years ago. He was testing the aircraft as part of it's certification and was wearing a parachute as apparently failure is not uncommon. There's a US manufacturer produces tail parachutes specifically for the type.
Many years ago I owned a PA28-140 (cleared for spinning!) Cherokee but also regularly flew the Terrorhawk. There's no comparison between the two. The 28's relatively luxury when you compare it to the horrible 38.
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