Agree overdriving amp (clipping) and overdriving speaker are two different (bad) things.
With loud recordings, you have a lose/lose scenario if amp is underpowered. You can keep the volume up as intended and distort due to clipping or be forced to turn it down whether you want to or not.
Regarding overdriving the speakers, you have a different issue but the same choices, distort or turn it down.
if you have both, ie underpowered amp and speakers/drivers that cannot go loud and dynamic effectively, you have th edouble whammy which is more common and more severe with modern loud recordings.
Address both these issues and at least you are in a position to play the game optimally regardless of recording quality.