Excellent post, sets out many of the basics. Mind you, try not to get too much into frets in this.... Tempering compromises start another discussion entirely!

My research in vibrating structures allowed any hypothesis or conclusion to be most accurate when there was a single source at a continuous force and frequency working on a structure of tesselate dimensions with the vibratory source acting equally to the mirroring sides.

Or put another way. No guitar I have ever seen...

I never used guitars in my research despite temptation but an earlier doctoral thesis I cited (Good vibrations - Harold Wright) used a violin in example a number of times.

Fascinating stuff but I doubt an answer is fully forthcoming because as I said before, beauty is in the ear of the beholder.