The engines are under the wing, under the center of mass and under the center of lift. Pushing the power up creates a momentum that pushes the nose up.
Pushing power up pushes the nose up, and at the same time you have to push nose down to break the stall. Result?? Nothing changes. The engine power pushes nose up and you push nose down. => You stay in the deep stall.
Chopping the power to idle creates the opposite momentum and drops the nose, helping the stick nose down momentum around the center of mass and the center of lift.
Lowering the gear adds drag below the center of mass and center of lift, and lowers the nose.
ALL tools are good tools to drop the nose.
Banking yes, helping the bank with power on one side, yes.
On realy large planes carefull with rudder, as the fuselage and tail are not build for torsional loads.