Mixing desks are said to colour the sound in certain ways, and in doing so, introduce harmonics and other sorts of imprecision that would be anathema to digital components, for which THD and SNR are paramount and utter precision is the ultimate goal. Then, in the end, people listen to the source material with their own ears, which have totally different frequency responses anyway and the eardrum is basically an analogue device that will color the sound in the end anyway :D
But then you start getting into things like guitar sounds. It's not that digital guitars sound better or worse - all you can really say is that they sound different. The real issue is that there's no objective sound that it should have - the electronics, whether digital or analogue, are effectively part of the instrument. And in the same way that analogue amps and effects colour the signal in specific ways that a guitarist or engineer might prefer, film imparts its own aesthetic qualities that a director or cinematographer might prefer.