If you're talking Floyd Toole, then expect to hear about a Distributed Bass Array too... but since that is off topic that's all I'm going to say about it.
But that isn't what the problem is with excess power. In a traditional push-pull solid state or tube amplifier, distortion decreases as you decrease power, to a point that is about 3-7% of total power, at which point the distortion goes back up. Below this point you are getting excess noise and distortion if your amplifier power is too high for your application, since most of the time you are only using a tiny amount of total amplifier power.
A different problem you've referred to is compression at high volume. This is a common complaint with lower efficiency loudspeakers, known as 'thermal compression'. Essentially the voice coils heat up in time with powerful bass notes and the like; this prevents the speaker diaphragm from moving as far as it should. The only way to avoid this if you want the sound pressure is to go with a more efficient speaker, with which there will be less thermal compression.
But that isn't what the problem is with excess power. In a traditional push-pull solid state or tube amplifier, distortion decreases as you decrease power, to a point that is about 3-7% of total power, at which point the distortion goes back up. Below this point you are getting excess noise and distortion if your amplifier power is too high for your application, since most of the time you are only using a tiny amount of total amplifier power.
A different problem you've referred to is compression at high volume. This is a common complaint with lower efficiency loudspeakers, known as 'thermal compression'. Essentially the voice coils heat up in time with powerful bass notes and the like; this prevents the speaker diaphragm from moving as far as it should. The only way to avoid this if you want the sound pressure is to go with a more efficient speaker, with which there will be less thermal compression.