Do distortion 's affect enjoyment of speaker?

Speakers are just speakers, but it affects music and changes the sound of recorded media.
Ever heard Johnny Cash singing with pitch of Neil Young?
The Distortion is guilty as charged.

Yes makes them sound thin etc!!

Matt,
It is not desirable, but we have no choice but to accept it, because it exists in all of our systems in many different forms to a greater or lesser degree. As long as it isn't a sort that bothers the person who is listening to the system, all is well.

IMO the question is too vague to be answerable in a meaningful way, or in a way that will lead to consensus.

Regards,
-- Al