I know you do mind, though not for audible concerns. You do tend to cite those single S&V style THD+N numbers that in general, don't tell much though they are still useful for quick apple to apple comparisons. I used to think that if S&V's, for example, the NAD T758V3's THD+N 0.4% at rated output, 1 kHz means there will probably be no audible concern. After seeing so many ASR's, Stereophile, and others more detailed measurements that show in some cases the distortions could be much higher when listening to real music, I no longer focus on those single THD numbers alone, unless there are other collaborating evidence provided in the reviews.
Instead of using the NAD that has unusually higher distortions even based on S&V's single number, take a look of the AVR-X3800H that, as you observed, has very low number, i.e. 0.004% measured at 1 kHz.
If you focus on the 1 kHz test, you can see that in the 10 to 135 W into 4 ohm output range, you do get about as you cited, 0.004%, +/- 0.001% or so.
Now look at the 10 kHz test you can see that the number would jump to 0.025.0%, still low enough for me to detect such distortions, but it is a whopping 6.25X jump! The story may not end there either, as such tests are typically done using resistor loads. Difficult speaker loads would most likely make things worse, not better.
Now that's starting from the 1 kHz test of the very low 0.004% level. So if you had the NAD T758V3 that a lot of their users like the sound, that has 0.4%, about 100X higher than the Denon's, what would it be if tested with a 10 kHz, or even 5 kHz signal? If it jumps 10X, that would be 4% and that would definitely be audible even to me and for sure to you since you are younger.
Since even the 40+ population could hear high frequencies up to say 10 kHz or even 15 kHz, I would really like reviewers to use not only the 1 kHz but also the 5 kHz for THD measurements.
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On the other hand, having audible harmonic distortions or even intermodulation distortions may not be always bad to all people.
As Nelson Pass mentioned on the Passlab website:
Pass LabsAudio distortion and feedback - Pass Labs
Personally, I don't want my amp's harmonic structure dictated by the manufacturers who don't aim for the lowest possible distortions. If I happen to enjoy some harmonic distortions (which I don't), I would much prefer to have the option to customize my own harmonics so that I can choose to add targeted harmonic distortions according to the structures I prefer, or choose "flat", that is, no intentional distortions. That's not unlike the now popular room correction software's feature that allows the user to customize the target curve.