when it seems better to just reduce power and let the nose sink.
And here we have the crux of this discussion - not aimed at you personally thing
just a convenient quote. That technique may have worked for you so far, but as a way to fly an ILS point & power works better across the board. Using power to control pitch attitude is fundamentally incorrect, since pitch attitude can only be
controlled (as opposed to
affected) by elevator. Imagine flying the approach in something with rather less pitch & power couple than you're used to, or on an excitingly unstable day - point & power would require far less work & be more accurate.
It makes me a worse and more unsafe pilot. So why make me do it still?
Next... Again, not a personal attack, but a fundamental misunderstanding. Your instructors are attempting to make sure that you can master several different techniques effectively, rather than being so bound into one technique that the idea of using anything else turns you into a shaking wreck. You will find point & power somewhat tricky during glide approaches, for example
