I only ever had 4 lessons in the PA38 right at the beginning of my training, until someone pointed out that if I did my skills test with the CFI, we wouldn't legally be able to load enough fuel for the exercise.....I then went over to the PA28 to complete my training.
I later flew with someone who owned a tomahawk, who demonstrated a spin and recovery. On the second spin, he had me look back at the tail - which shook and shimmied like a demented belly dancer. I haven't felt the urge to fly in one again.