That's fine Ghengis, but some aircraft will require quite different techniques.
I accept that the "standard stall recovery" will work for most/all puddle jumpers, however an Airbus or a turboprop will require different techniques. All based around reducing angle of attack, yes, but quite different in execution.
A turboprop is likely to want early power, whereas an airliner you may want to be waiting a long long time before you think about adding power.
If there is a wingdrop, again the recovery will be quite different.
My point being that if you are teaching a student who will be in an airline within 200hrs, then perhaps the standard stall recovery drilled into him may do him no favours.