Ghengis
My experience of 3-4 FAA instructors in the US (some years ago) was not power first stall recovery, but rather releasing the back pressure or a gentle pitch down, then adding power.
The philosophy seemed to be to teach a recovery that could be used at low level as well as high, the theory being too much pitch down close to the deck, e.g. after takeoff, could cause CFIT.
They were very keen to detect the early signs of the stall, e.g. buffet and recover before the G-break; I believe this was not fear of the stall, but representing an FAA desire to recover early and prevent an incipient spin.
At times, the exercises felt more like stall prevention.
NB, I am not supporting or promoting this approach, just sharing my experience, in case it may be of interest to you. My license is PPL.