Do distortion 's affect enjoyment of speaker?

What Chayro said, pretty much.

SOme types of distortion may have positive effects, like those one might apply with a frequency equalizer or dynamic range processor for example.

Other impact things in a clearly negative way. Amp clipping is a very common example. It can occur to various degrees, some less audible than others, but the effect on music is always negative.

Tasteful makeup on a beautiful woman is a common example of distortion that is usually interpreted positively.

It is a distortion of reality. Is it a good or bad thing?

Same with tone controls in audio or picture quality adjustments in video. All distortions that might be regarded differently on an individual basis.

LOL....you are all very funny. IMHO distortion is not acceptable in home audio! While in live music distortion is accepted fully. I have always wondered about this,but the fact remains that DISTORTION is not good for the listening room.

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.