For the Big Navy Salute, there is a cluster of dust that has been kicked up FASTER than his boot, as can be seen here 4 frames after he leaves the ground.
This dust (circled) CLEARLY had a faster initial upwards velocity - or we wouldn't see it here ABOVE the bottom of his boots, by about 5"...
So does some dust appear to fall more in line with John -- yes -- it's THIS small amount of dust -- which is why you can HARDLY see it. (if at all)
Here, notice the circled cluster of dust - higher than the boot bottom:
Here, John is still at his peak, while there is NO SIGN OF DUST in the air at all. Sure, you might be able to see a TINY BIT (questionably) -- but if it's there, it's explained by the dust that was kicked up higher than the boot.
It's also explainable, if it's scant, by atmosphere -- when slows the fall of smaller particles...
Either way, your "proof fails miserably", but the evidence of "Sand falling way faster than the astronaut is clear as day" -- it's time for you to reconsider your conclusions here.