Now does the transistor proximity to the storage cap(s) make a difference?
Atmasphere can speak to that more knowledgeably than I can, but I don't think that would make a significant difference. The concern would not be propagation delay (which would be a few nanoseconds at most, as you speculated), it would be that the inductance of the wiring or printed circuit board traces between the capacitors and the output devices would slow the transfer of energy.
But I don't think that would be a significant effect either. As a very rough ballpark the inductance of one foot of straight wire is around 15 nanoHenries, which would have an impedance of about 2 milliohms even at 20kHz, and much less at lower frequencies. The numbers would be somewhat different if printed circuit board traces were involved, rather than discrete wiring, but I would think they would still be totally insignificant.
What would be of potentially greater significance would be noise pickup on those runs, but that is presumably filtered out by much smaller decoupling capacitors (that have much better high frequency performance than electrolytic storage capacitors), which should be and presumably are located very close to the point of use in the output stage area.
Regards,
-- Al