What my tiny little mind his learned from all this herein is that amplifiers are really really important to sound quality.
The comment above from @yxcbandit about more amperage improving control over drivers, if true, and I believe it probably is, is very insightful. With more powerful quality amps, it follows that drivers are better controlled.
I also believe that frequency response is vastly improved because of a more powerful amps ability to deliver a greater ability to achieve this.
Also with all the complexities of the crossovers going on behind the speaker drivers, and the inherent voltage balancing going on between all the drivers, the spread of power to all the various drivers is likely enhanced with improved power capabilities. Crossover design Controls more than just frequency range distribution and is a topic that is not well focused on or understoodon in my view. Individual drivers within a speaker don’t all receive the same level of voltage otherwise things would not be in balance. I think this may greatly influence how amplifiers as well as crossover design may impact speaker performance.