2 Donkeys and Say Again Slowly
The Archer is not cleared for spinning and to attempt a full power stall, with the CoG near the rear limit is, in my opinion, extremely foolish.
The aircraft could easily enter an spin and be unrecoverable due to the CoG. Remember, it is not cleared for intentional spinning, so spin recovery is test pilot work and I prefer to leave that kind of stuff to John Farley and Ghengis
SaS, you are assuming that the instructor briefed the manouvre requested, which was not the case.
He also asked me to change fuel tanks at the hold, following a landing and before the next departure, without a run up check and got annoyed when I insisted on doing a power check before departure, saying it was a waste of time.
He was accident waiting to happen, in my opinion, and I must say not in line with my experience of most US instructors, who I've found to be professional in approach.
And as a PPL with a few hundred hours stick time (and over 200 on the PA28), I know enough to recognise instructors who do not act professionally.
Also, 2 Donks, fine to quote the FARs, but bear in mind that there are not a panacea for all evils; Have you ever read Dick Collins feelings about the past requirement for flying a light twin, on one, low level, around the minimum control speed?
He claims a lot of people died because of this requirement.