Matter of taste.  Surface noise on vinyl is not for me.  I'm not sure how it makes performance more natural since there is no surface noise at the live performance.
Huh? They're talking about ambient noise in the recordings not surface noise from the media.

Well, he has whole chapter on surface noise.  Ambient noise in the recording will be the same for digital and analog.  Same goes for microphone noise.  
Thanks! for sharing- erik
I had no idea of what they were talking about. It was either absolute drivel or totally over my head and I can't figure out which. 
Dr. Herbert Melcher has shown that the brain has tipping points. Normally music is processed by the limbic centers; this is where toe tapping and other emotional reactions come from. When things go awry with the sound, the brain seamlessly transfers processing to the cerebral cortex- the seat of the conscious portion of the brain. When this happens, the emotion content of the music is diminished or lost.

The problem for digital is that it contains harmonics unrelated to the fundamental tones (instead are intermodulations related to the scan frequency). The ear is used to hearing harmonics that relate to the fundamental tones in some way. Now this inharmonic distortion (aliasing) is not a great amount, but the ear is very sensitive to any harmonic content that is higher ordered (uses it to measure sound pressure so it has to be sensitive) and is also tuned to birdsong frequencies (where many of the aliasing artifacts occur).

In this regard the ear is usually more sensitive than test equipment.

In top of that, the aliasing does not come off as separate tones unless you use special techniques to detect it (an analog sweep tone works rather well though). So the ear converts the result as a tonality of some sort. This is why digital frequently has a crisp sound while analog some how sounds more ’round’. Its a coloration, and unlike analog one that cannot be separated from the music being reproduced.

The result: less emotionally involving/more boring.

(Brought to me by Ralph Karsten, of Atma-sphere)

What I'm trying to say, is that these people don't have the question correct, or even complete, so their answers will be totally off the mark and wrong headed.
Brain runs the show alright.
teo_audio  He is not talking about digital vs. analog in general but about particular difference - the lack of noise in digital.  I'm not sure if it is a tape hiss or surface noise but, according to him, it suppose to improve reception of music.  It suggests that adding noise to live acoustic performance in very quiet place, would improve it.  
Interesting Youtube on analog tape recorders:

Hmmmm. All those so called artifacts and analog tape still sounds better than digital. Go figure. By the way that dude in the video is definitely not an audiophile.