I’m also worried about how much of the harmonics in the music is LOST by the amp?


Of course, I don’t want gross harmonic distortion, but don’t abuse or lose the precious harmonics in the virgin recording either. No way to measure that, though, right? Thats where the ears come in…
redwoodaudio
@redwood-audio
I’m also “worried” about how much of the harmonics in the music is LOST…
seems like you were concerned with harmonics in your audio chain VS
wouldn’t it be great to see
The hypothetical “Wouldn’t it be nice if….”

The later is a rabbit hole debate with no audio benefit. “Worry” is not the same as “wishful thinking”.  I shouldn’t have wasted time on this pointless endeavor.
I’m also worried about how much of the harmonics in the music is LOST by the amp

I don’t want gross harmonic distortion, but don’t abuse or lose the precious harmonics in the virgin recording either.
Since you are specifically addressing amplifiers, you are correct to be worried. Electromagnetic interference (EMI) is the killer and it's wise to address it as best you can, both internally and externally.

Unused ports can act like antennas with direct paths to sensitive circuits, so that's one external source easily fixed with dummy shielding plugs. Since most equipment have AC supplies, that's the internal source. If you are willing to open the case, in most cases it can be resolved by fitting a grounded shield between the power supply and amplifying circuits.

As others have rightly mentioned, amplifiers are just the start and EMI / RFI should be addressed wherever possible. Shielding power cables can stop the EMI from radiating outside of the cables, so they are well worth considering. Since RFI (Radio Frequency Interference) is everywhere around us in the atmosphere, shield everything and connect it directly to a central earthing point, not the equipment's case.


@pedrob - thanks for the advice. I've always been curious what an extra grounding system would do, for instance. And some shielding plugs has also been recommended. I like that idea too. 
To get high S/N and low THD you need to add quite bit of dB of negative feedback to the circuit. 
This reduces the second harmonic and increases IMD…leaving you with a harsh and sterile sound, stripped of harmonics.  
So basically what I’m saying is you may need a poor measuring tube amp if you want harmonic richness without transistor distortion.