Nose drops with power
“Nose drops with power”
No, only if you let it. What is being (poorly) described is the change of pitching moment with power. In manual flight this can be detected by the pilot as a change in stick force – a change in the trimmed condition.
The stick position controls the nose attitude; changes in trim due to power, speed, or configuration, contribute to the ‘feel’ of the aircraft – that aspect which pilots should be familiar with and is necessary for maintaining control.
Poor descriptions might be lazy posting; alternatively poor understanding. If this is the way people think, then often what you think is what you do.
Rule 1 fly the aircraft; you determine the nose attitude, not the aircraft trim state or power setting.