Assuming a speaker is set up for proper bi- wiring / amping, & all other things being equal, I would think a speaker would have the potential to sound much more dynamic & clear @ louder volumes with the increase in available power. To move & control & big woofer takes so much more power than a midrange or tweeter. It has a much bigger motor & requires much more current. The distortion levels should remain much lower when the speaker is pushed hard.
