the instructions and directions on the THAT website are your best discussion of this whole issue. Very detailed discussion of all things VCA, and these are the VCA's used in the SSL.
Generally they were talking about nulling the total harmonic distortion, mostly because that was the only real test equipment available at the time. Today we have, as you have, very sophisticated analysis equipment that can give us the individual harmonic makeup of the distortion. Here you can monitor the 2nd harmonic to null for symmetry, or is it the third? I forget, too early and not enough coffee yet, but the THAT documents will clarify.
Cheers
Alan