Donbellphd, it depends on how you define accuracy. I hate to get off the initial thread but I dont think we can say that digital sound is inherently or potentially more accurate than analog sound or vice versa. Its all a matter of definition and execution. Both technologies have their own strength and weaknesses in dealing with complex musical information. Digital sound gives you the MAIN musical signals accurately without noise but misses some of the musical subtleties--richness and warmth are not all distortions; they are high harmonics in the musical signals themselves. Analog sound gives you the main AND subtle features of the musical signal but also additional noises. One error is mostly subtractive, the other mostly additive. But both technologies are capable of reducing their inaccuracies though not the same way.
I am a pragmatist with little emotional attachment or dogmatic belief in either format. I just look at the end results. The sound of analog master tape, a 50-year old technology, has all the attributes of the best digital sound but in far greater degree and is stunningly musical. If to get all the music I have to also get a little distortion, Ill take it. Mind you, digital sound is improving all the time. By definition, however, digital sound will always remain an approximation. One day it can be close enough to the real thing that the tiny difference may not really matter to anyone. But that day is far from here yet and may or may not come.
Digitization is a very powerful tool that allows us to do things heretofore impossible with analog approach. Digital sound also offers great compatibility with the Internet, computer, telephone, and other digital technologies we currently enjoy. But digital sound is far from perfect and it is not a panacea. It has its own kind of distortions that are different but as (if not more) difficult to eliminate as analog distortions. The best analog sound is warm, rich, highly musical but a little noisy. The best digital sound is clean, detailed, and extremely quiet but a little dry. BOTH are inaccurate and I have no proof that either is inherently superior. They are just different.