You need to move away from even and odd order and second and third order thinking in terms of distortion.

Our research showed no difference in even versus odd order distortion perception and it also showed that subjects were virtually imune to second and third order nonlinearities.

Even though flux modulation IS a dominately even order phenomina, second order effects CAN be odd order. This is especially true of the higher orders. It is these higher orders that are most audible and hence most important.