Earlier quoted context omitted.
Which, isn't substantially different than evaluating a codec on introduced SNR. These classic signal processing analyses tell you nothing about the correct operation of a psychoacoustic model codec design (i.e. MP3, AAC, Vorbis, etc.) An analysis of A (original signal) vs. A' (signal passed through a compression-decompression cycle) is just extracting the quantization noise introduced by the codec. That provides no i…
I am not familiar with the term "introduced SNR"... Googling. No joy. I can't really follow your thinking above; sorry. In audio, there is distortion, which is correlated with the signal. Noise is uncorrelated. Codec error would seem very much to me to be at least much more correlated than uncorrelated. MP3 artifacts sound at least more "phase-ey" than they sound anything like quantitization noise ( at least to me ).…
If I understand you correctly, your discussion around intelligibility primarily applies to signal processing of voice vs general audio. Codecs such as MP3, AAC, etc. don't have the luxury of making assumptions about the signal content, and so aren't designed along those principles. E.g. speech codecs can generally run well at much lower bitrates than general audio codecs because they operate on a constrained domain of audio (i.e. speech).
Regarding distortion management, see Rate-distortion optimization[1] for lossy audio codecs: where the purpose is to manage distortion within the limits of the bit rate supported by a communication channel or storage medium.
[1] https://en.wikipedia.org/wiki/Quantization_(signal_processin...