However many here do not understand it and I see nothing wrong with discussing it.
Photofly I am not describing power adjustments, I am describing aircraft handling during take off and landing and power use is part of that process because there are many instances where differential power will be used to control yaw.I won't argue with it. Hopefully by that stage a pilot knows when to make - and when not to make - power adjustments.
Back to single engine power handling on take off, if you are flying an airplane such as a Beaver on floats with the big heavy two bladed prop and you quickly rotate the nose down in the pitching movement as you rotate unto the step the gyroscopic procession will produce a yaw that the rudder will not overcome.
So you have two methods with which to control yaw and maintain control of the airplane.
If you are not holding the throttle you have deprived yourself of one of the means of stopping the yaw.
If you use the other means of stopping the yaw what happens to take off performance?
There you go photofly you are an instructor so describe to all your students in a clear and understandable description of the two actions and the difference in the two methods of yaw control in the above scenario.