This is becoming far too theoretical and in the ideal world for my simple way of thinking. I know the theory and the ratios & %'s for the various speeds. In the sim it works fine and has done for 40 years. In the real world, as they say on the rugby pitch, you play what's in front of you. The coach's best plans may need adjusting on the day. You need to be well aware of what you're doing. Perhaps there-in lies the hesitation. Too many treading into the darkness of the unknown nor understood.
Indeed there have been a/c whose rudder had too little authority, and with an EFATO it was necessary to reduce thrust on the live donk. That was to gain control in yaw and 2ndly roll. Assuming those 2 were acceptably under control I was only considering what was happening in pitch & ROC and seeing if anything needed to be done about that. I might feel rather sheepish trying to explain why I'd descended shallowly into farmer Fred's ploughed earth while having more power to call upon.