I don't know if a 'stall turn' is the same as a 'climbing turn stall' but I've done all of my training on 172s and I've seen it do loops, spins, spirals, canyon turns, etc.
In about 4 weeks the flight school I attend in Pitt Meadows, B.C., Canada will have the first flight school owned diesel engine 172M in Canada giving it a service ceiling of 18,000 ft. Aircraft Ident is C-GAME.
This picture is the first diesel installed on a 172, it's a 172p. Turbocharged, FADEC, composite 3-bladed prop, push start, runup is: push a button for 30 seconds, watch the gauges, and listen to it feather and switch computer systems..