+1 @carlsbad2 @8th-note @erik_squires
Glad that current delivery came up soon here.
Although many other factors reside in dynamic response, current capability and response to impedance dips seem to rise to the top in my experience. Factoring in that all speakers are different in how they behave with any given amp or amp topology, that the type of music is also a factor, even cable guage for that matter.
But there really are so many things that can occur differently between systems of higher power with lower sensitivity and those with lower power and higher sensitivity. Even if dynamic response can be noted as similar in any given section of music (with volume matching), there can still a difference in tonal character and decay. There are reasons why many gravitate toward low power, high power, or something in between. But what seems to remain constant is that need for sufficient headroom, at least relative to the needs of any given listening environment (types of recordings, near field or large area etc.).