It took a bit of working up to it, but I ended up asking the instructor to demonstrate spins (starting just from the initial break, and slowly working through until we did fully developed spins). I never did the control inputs myself, but hopefully I can get that down on future flights. I am very happy with myself for ending up giving it a shot.
It was scary for me, but just as I had hoped, the flight back (even with turbulence and whatnot) was so much more relaxed for me. Each additional spin that we did, I became less and less anxious.
Wings didn't come off!
regards,
ASweetOldMan