What would happen....

If you introduced an induction device (a scoop, if you will)
on the exhaust system, say beyond the cats? It would draw in
air at high speed, creating a vacuum and would draw the exhaust
faster than the exhaust would normally exit. Of course, the exhaust
system would have to be larger at that point, with higher flow
mufflers, but I'm wondering if there would be any benefit to this?