The chord of a wing is just a few metres. The inlets of engines are just a few metres across at most, and less than that in depth. Yet clouds are commonly seen in low-pressure areas above wing and in engine inlets ahead of fan.
Yet you don't see fog when a sound wave is propagating through the atmosphere under the same conditions. Hence something must be different.
I'd take a look at the relative magnitudes of the pressure changes and the effect on temperatures and heat transfer rates.