Occam's Razor is the oldest principle in science, being about 850 years in use. I'm
guessing that since you made the argument above, after my suggestion to use it, that perhaps you don't know what it is (
no judgement).
Occam's Razor tells us that, given two explanations for a thing, the simpler one is likely the correct one. Our amps and preamps are known for being smooth and not irritating. Since they are fully differential and thus make mostly odd ordered harmonics and as you suggest, the 3rd can't mask them, they must somehow be smooth on some other account that no-one has really figured out. OR, the simpler explanation is that 3rd really
can mask higher orders and how ever you got the idea that it can't is simply wrong.
FWIW, its well-known in the speaker world that a 3rd harmonic will mask higher orders. Why is that so for loudspeakers and not amplifiers?? Occam's Razor again...
My proof has been in the pudding for a long time (Atma-Sphere is one of the older manufacturers in high end audio). You have to demonstrate that somehow in the face of all this that what you are saying is really true. You might ask Keith about this instead of me- he might be able to convince you better if he's properly informed. I've been offered teaching positions in the past but I prefer the work I'm doing instead. It reaches more people.
I've spent a lot of time working with differential amplifiers. I know you've not kept up with everything I write so I'll put it in a nutshell: most differential amplifiers leave performance on the table because the CCS used is poor performance. This is very common in solid state amplifiers where you have an issue if the differential input has too great performance- quite often they have to tone it down a bit to avoid other (unrelated) problems.
Link- its all good but the relevant text is on page 12. At any rate, we're not constrained by that issue and so have had better CCS circuits in our tube stuff for a really long time. Once they are set up right you unlock what the differential amplifier can really do: wider bandwidth, lower noise, lower distortion and greater gain all at the same time (which is rare; often one of those parameters is sacrificed for another...). I suspect the amps you've heard really don't demonstrate what this is about. Heck, our amps didn't either until I sorted this out in the late 1990s.