Distortions that the human ear likes. Are there any ?

The problem is even if there was a “good distortion” it would be drowned in a sea of “bad distortions.”

In which geoff proves all music is distortion, and all distortion music, and human life is meaningless in the cosmic time scale.

Distortions within source material as originally performed, yes.  Distortions from over-saturating downstream componentry or engineers over-fussing with track level gain or EQ boost...no.

Is firstnot a derivative of Slipnot minus some class?

Intentional artistic distortion (ie many Beatles recordings from Rubber Soul onwards) = good. That's what the recording artists and their teams wanted.

After market distortion (mastering choices done by engineers years later and those defects added by loudspeakers, turntables, amps etc) = bad. You might like them but the original artists, producers, engineers etc might disagree. 

Or they might not, especially if enough money rolls in as a result. Ultimately it all depends upon what you the consumer wants to pay for.

Moving the discussion sideways, I bought an Avid Acutus Dark turntable recently. It came with a "stabiliser"  or puck for a shorter word to sit on the record to apparently enhance the sound (rerduce distortion??)  Not sure of the theory, but I suppose it made sense. My Linn Lp12 does not have one and indeed cannot due  to the weight factor. The Avid puck threads on to the platter to give tight grip on the record, but to change a record you have to unwind the puck each time. Crazy. So I bought at great expense a Stilpoint puck that is a bit heavier but just slots on top. 
I was not amazingly impressed, but one day by mistake I forgot to put the puck on and wondered why the sound was better. Playing around putting on and off I felt the puck was taking out much airiness and musicality so I now have 2 pucks sitting doing nothing.
My point is that reducing one thing (distortion?) also decreases another aspect, and not necessarily favourably. Not sure why this is though.....