Yes. That is exactly what I am saying.
I have never been a fan of Carver. But I remember decades ago him doing a demo of the sound of (I think this is right) a set of scissors cutting a piece of paper. He was able to measure the near instantaneous power demand to reproduce this sound (as opposed to normal gauges that are long term averages in comparison). Any the really large amp clipped during the snip, restricting the dynamics of the sound reproduction.
That is the logical side. Then I have heard multiple versions of the same amps with the same speakers... and they sound better... so that is holding all other things constant. This have always been solid state amps. We are talking normal speakers... sensitivity 82 db to 96db. I have never played with 100db sensitive speakers... there could be some down side with speaker that sensitive.