I was taught to fly by an old timer Army Air Corps pilot. His stall training was right out of primary flight training circa 1942. Steep fast and scary for a newbie pilot but he pounded it in and stalls from any attitude at any power setting and any airspeed were his main focus, he told story of buddies lost making "button hook" turns from base to final in T-6's and such and stressed that none of his "kids" were ever going to die from a stall at low altitude. Before I soloed I was able to do a three turn spin and recover to a point. I'd done half snap rolls to inverted, accelerated stalls from a 60 deg bank to a full break,so on and so forth.
Several years later I was told by a modern style instructor that my stall entries and recoveries were dangerous. The first time I ever witnessed a transport style entry and recovery I was thinking this is a great instrument scan exercise but it's got nothing to do with an actual aerodynamic stall series.
Later when I started flying aerobatics I never found myself in question as to how to get out of a stalled attitude it was simply reflexive.
We'd all be doing ourselves a great service if we went back to Army Air Corp style stall training circa 1941.
The PTS is a guide line of the minimum performance and proficiency required from a student to be proficient for the rating he or she is seeking to attain. There is nothing in the FAR's that says you can't give your students some extra deeper levels of training. I don't instruct much anymore but when I did all of my students got some "extra" non required training on things like stalls and engine failures, fires ETC. The stuff that will kill you.