For example, does anyone measure equipment using white or pink noise (better representation of actual music) and compares spectrum? Or, better still, take a piece of music, play back via two DACs, then measure difference in analog outputs using high precision instruments? Never seen any measurements. So there.
Well, null tests are common enough with music signal, loop back testing too. And noise is used in testing things like DAC filter performance. Noise as a test signal is common enough in addition to both individual frequency testing and frequency sweep testing (which is going to be better at showing you the spectrum of harmonic distortion than what you'll be able to glean from noise). Noise is challenging for some of these tests -- like you can't can't measure SNR with noise obviously, with DAC if you have random noise like white noise you can wind up with randomly occuring overs, I guess. And of course it's really not so much a signal more like music, I mean, music doesn't have anything like random frequency and constant sound power across all frequencies, unless you're listening to something like Merzbow or something.