Moving Air
Does your conceptual picture have the distance the particles travel in their high frequency oscilations much shorter than low frequency oscillations?
Well, yeah. The thermal vibrations are constrained to within the dimensions of the distance between the air molecules. The motion of the disturbing force would be millions or even billions of times larger displacement as fairly massive amounts of air molecules are moved great distances.
I suppose we've all blown at a spider web some several feet away and noticed that it takes some time for the burst of air to reach it and it makes sense that the air extending in front of a speaker moves in a gross sort of way as well.
Here's where I start having problems with the terminology and it may just be a case of semantics. The very use of the word, "wave" conjuures up visions of repeating, cyclical events (you use the term, "oscillations" above). The notion of, "longitudinal waves" and the compressions and rarefactions re-enforce that picture.
But, it seems that to understand the sonic wavefront (for lack of a better term), one must think of the movement of the disturbing force on an instant-by-instant basis with the sonic waveform also being developed on an instant-by-instant basis.
I'm 100% positive that a copy of the disturbing force is formed in the air and travels (propagates), at the speed of sound, intact. Of course, as it travels, it's acted upon by many factors that attenuate and smear it.
Even so, when it hits a reflective surface, it continues to retain the time vs. pressure characteristics of the original disturbing force. I know this is true because I can hear that it's true when I hear an echo. The, "hello" I yell at a rock face comes back as, "hello".
Because the sonic wavefront is a copy of the original, it must also at least start with a similar displacement of air molecules and, presumably, as it attenuates over time, will have a smaller and smaller amount of displacement until it dissipates to the dimensions of the thermal movement.
Hopefully, there's validity to at least some of that.