Yes, mainly because
analog and
digital are different levels of specificity. I could come up with a better word, I'm sure, but distracted listening to the Prokofiev you recommended;
digital is very specific—a
numerical representation of a signal, whereas
analog basically means a
representation of a signal. Analog—"Something that bears an analogy to something else; something that is comparable." A mic produces an electrical signal that is analogous to the sound waves hitting it, grooves are cut that are analogous to the electrical signal, which get converted to an electrical signal that's analogous to the groove, which drive a speaker that pushed air analogous to the original air pushing.
The true difference is discrete time versus continuous time. Digital is always discrete time, but it's just a digital representation of an analog sampling (zero-level connecting the samples in the continuous domain). And since numbers are an idea, we can't really store them without making an "analog" of them (representing them as bits stored as voltage levels in chips, or converting them to an analogous continuous voltage for SP/DIF, etc.) The subtle difference is that these are not strictly analogs of the signal, but of the discrete-time—sampled—signal. That's a profoundly different reference point. Once sampled, it's no longer the original signal, it's been modulated and is no longer the original signal, so my point of view is that claiming digital is also analog is going too far. I'm not going to fight anyone about it, I just don't think they do anyone a favor by claiming it, it jsut makes discussion more difficult.
That's a long way of saying that while people tend to consider analog and digital to be mutually exclusive but equivalent descriptors, they actually describe different things altogether. They don't have the same relationship as, for instance,
continuous and
discrete. And to complicate discussion, a signal that has never been digitized can be either analog or discrete. Of course, discrete is almost always digital, because it's so much easier to store and process if digitized. The bottom line is that most people use analog to mean continuous analog, and digital to mean quantized discrete sampled (usually PCM), so it just muddies to water to claim digital is analog. Yes, it's an analog of something, just not that of the original sound like what "analog audio" is.
I somehow feel less clean for going through that explanation.