It's good that you are thinking somewhat outside the box.
The compressed air would have to be downstream from the pump or the pump would cavitate.
It's true the mix would dry faster, because there is no way to mix water, detergent and air without making foam. But the agitation would be less, not more through a wand.
I think outside the box too, and set up my Chemstractor connected to the Truck Mount, and used a slightly foamy product for cleaning, and it worked great.
Wait until you see my next invention. A device to place tabs or blocks without bending over. Not ready for prime time just now.
Gary