Rob,
"Perhaps. But to what end?" Explaining the 'asymmetry' to advance understanding.
A whole tranche of anomalies and paradoxes may be resolved by more precisely matching the mathematical description to the underlying physical 'mechanism' of Maxwell's near / far field transition (which includes deriving the 'LT' non-linearity). The SR postulates re-emerge with a more complete specification and explanation.
A bit like the currency conversion; The maths may be perfectly precise but give little clue as to the physical mechanisms required to actually implement a transfer from pounds to dollars. The physical reality will also always be an approximation of the mathematics to ~0.5 cents.
I stated some of the anomalies which would be lifted. Non-linear optics is beset with them, but most are unfamiliar as they're 'swept under the carpet'. The violation of Snell's Law at 'kinetic reverse' refraction is just one, recovered by the mechanism. I can provide a full mechanistic description of processes, some of which you already understand, but manipulating the representative symbols isn't my game. Contact me on peter.jackson53(at)ymail.com to have a closer look. I'm also joint author on a paper on superluminal quasar jet acceleration and collimation mechanisms you may be interested in (presently in review).
Two-fluid plasmas are very interesting mechanisms, relating to increased photo-ionization rates with intensity, so 'Higgs process' pair production rate linked with relative motion, also closely related to the phase/group matter.
Best wishes
Peter