I think the issue is that this is yet another facet of music reproduction where there are significant individual differences in how the ear/brain hear and interpret these different types of distortion. We'll never all agree because we literally hear differently.
Ralph and I have both brought up this issue over on Agon in a few threads and I always end up citing a Nelson Pass article where he talks about how in his testing 1/3rd of listeners prefer 2nd dominance, 1/3 prefer 3rd dominance, and 1/3 do not differentiate (
https://www.passdiy.com/project/articles/audio-distortion-and-feedback). As Ralph points out, everyone finds the higher ordered harmonics unpleasant.
Like you (and me), Nelson believes that 2nd vs. 3rd harmonic dominant profiles do indeed sound different. If anyone's curious, you can build one of Nelson Pass' BA3 front ends (
https://diyaudiostore.com/collectio...roducts/burning-amplifier-gain-stage-for-ba-3), drop it in a box with a simple power supply brick, attach RCAs on the inputs and outputs, and then directly manipulate the balance of 2nd vs. 3rd harmonic distortion in your system by simply manipulating an on-board pot. $100 and you can see for yourself where your ears fall.