Analog mastering doesn't have anywhere near the dynamic range of digital; a CD with its paltry 16 bit has a noise floor below -90dB. There are staggeringly few analog mastering setups that can do that. Move to 20+ bits (i.e. all pro digital mastering setups) and you are getting to the point where an analog setup might be able to maintain the SNR, but would be astronomically expensive.
As far as the harmonics, there is little evidence that humans can detect 22kHz+ sound at safe listening levels, and once you talk about 96 samples/s most speakers can't reproduce anything like the original signal at 40kHz+. It might make a physical difference if you have a $20k electrostatic setup, but you won't be able to hear it.
http://www.npr.org/sections/therecord/2015/06/02/411473508/h...
This tends to be true in practice due to "loudness war" problems - many CDs are mastered not for accuracy but for popularity.
Where analog generally falls down on the job is, you typically need actual musicians playing actual instruments in an actual studio to lay down a track. None of this wave-table-synth, virtual instrument shit. And no Auto-Tune or other automatic correction either; if a musician flubs a track, generally they have to rerecord it. Pop producers consider this a bug; serious musicians consider it a feature.
This, btw. is why nobody masters at 16 bits; the insufficient headroom. 16 bits is plenty for playback though.
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I do want to acknowledge the big weakness of a digital setup that you touch on here, which is the hard clipping. If you ever clip in digital, you have ruined the recording while many analog setups will have a soft rolloff (Tube amps v. BJT amps are similar; the soft clipping of a tube amp is much less unpleasant than the hard clipping of a BJT amp. You can "get away" with a lower wattage tube amp for this reason; a properly sized BJT amp is more accurate though). All this is moot for professional recordings though as a sound engineer who regularly clips by accident (rather than to intentionally get a particular sound) will get fired.
Obviously you've never mastered a Disaster Area album. :)
Perhaps a grainy photograph vs. the lidar is a more apt comparison. The former has character, but the latter is a much better approximation of the real thing. Also you can generate a grainy photograph from your accurate digital measurements if you so choose.
Maybe a better metaphor would be a laser pointed vs a flashlight - assuming they emit the name # of lumens, which one is more useful for exploring a dark room? This is why I think the pursuit of endless precision in calculating the value of irrational/transcendental numbers is an amusing hobby but ultimately a waste of time.
Digital sampling can capture 20 kilohertz just fine. An analog recording pathway isn't really going to capture much more information than a digital one.
As for virtual instruments, those are like video game emulators: they give future generations some semblance of what the original was like, but it's just not the same as actual hardware.