Correct me if my resume of the study is wrong: grossly, in ‘73, this study showed that the overload of silicon vs tubes difference was that with tubes, it was mainly the second, third, fourth and fifth harmonics appearing. However, they weren’t at the same amplitude, the stronger being the second (octave). It appears to our ears as « ticker ».
Not neccessarily. Too much amount of a second respectively those even order harmonics does not sound good anymore.
A very similar thing does happen with very mild/smooth saturation, cause once the saturation was very smooth/mild then the outcome of total sound was quite muddy and spongy.
Furthermore, if there was two gain stages that are acting in series connection in the signal path of an preamp, odds may be emphasized (the odds produced by gain stage #1 are added by odds produced by gain stage #2), while the even order harmonics may nearly completely cancel out each other (gain stage #2 does cancel out the evens that are produced by gain stage #1).
In total the sound of odds harmonics THD may be perceived as a tuby sound with "warmth", some self trained experts may argue this is done by all the even order harmonics produced by tubes, and there are at least two tube gain stages producing them but, in total there may be nearly no even order harmonics anymore, even with tubes.
In the case of transistors and op amps, it was mainly the third and the following uneven harmonics but rising at approximately the same level, human ear interpreting it as harsh and unpleasant.
With tubes there may be already odds (and evens) present for small signal considerations but, it strongly depends on the schematic design of the tube stage.
A tube gain stage without a cathode R bypassing C may show pretty good linearity.
Those tube stages have been prooven to be pretty much "robust" versus tube rolling.
And quite often folks THEN try to "tweak" the sound of those tube stages with tubes that are NOT designed for those tube schematics in question.