One day I'll write an article on this, however for now just a short note. Logic can not replace science. And science requires somewhat deeper understanding of what is happening than common sense usually allows. In case of a digital recording there is one obvious problem with "missing data". The problem is that we can not receive digital information directly - it has to be converted into an analogue sound pressure waveform, and that conversion is not an easy process at all - otherwise we wouldn't have so many different speakers, amplifiers, DACs and CD-players. The process of a D to A conversion is a lossy one by default - we always lose some of the original information in that process, same as we lose information in the analogue to digital conversion. But on top of the losses the D to A conversion adds something to the signal that was not there in the first place - mirror images which contaminate the sound, unpleasant noise modulation and HF components that we can not hear but which do affect the amplifying chain and decrease the sound quality. Getting rid of these problems is not easy and many different kinds of digital and analogue filters, various dithering and modulation technics are used for that purpose. Nevertheless, these problems can not be eliminated completely and they do affect the sound quality by influencing our perception on a subconscious level. If, for example, the RF noise of an inexpensive CD player or a sound card badly contaminates the signal (which is very often the case) and you record that output on tape than the tape recording and playback process works as a filter, essentially removing these RF components from the amplifier input, adding some noise to mask the imperfections of the D-A conversion and allowing us to hear more of the actual music, not less (despite an obvious loss of information). If you use a very high quality DAC than the result could be the opposite thought!
Cheers
Alex