I understand that a stick shaker is a form of stall warning device. Therefore taking corrective action upon the shake (or horn/light in many other aircraft) is stall avoidance, not recovery. Avoidance is great, unless the purpose is to fully stall the aircraft (training).
A full stall is not caused by reducing power, so application of power is not the appropriate means of recovery - unless the manuafacturer says it is. If so, that procedure is a perversion of the correct technique, as it was not required to be demonstrated for certification.
Though not a design requirement, or the "normal" technique, a Lake Amphibian will generally power out of a stall, with no loss of altitude. Useful for a suddenly aborted water landing - perhaps an oddity.
Reduce AoA using pitch control, to prevent or recover a stall.