I think you'll find the same "waggly tail" in any aircraft that was spinning! If it didn't waggle it'd prolly fall off.
Never saw the tail wiggle in the CT4....
Chimbu I had a similar thing happen in an aerobat (sparrowhawk conversion with the bigger donk), recovered at about 800 AGL
I managed to crumple the forward elevator stop on the control yoke.....I was pushing forward that bloody hard