Absolutely, An air-ride suspension without heavy duty shocks will bounce. When I say air-suspension, I mean taking off your complete leaf packs. I have a couple of friends who have full air-ride suspensions (front & rear) on Dodge & Fords and their trucks bounce going down the road. I don't mean bounce to where you're jumping in the seat but you will feel a spring like effect inside the cab. They have now installed expensive double & triple inverted shocks to remove 90% of the bounce. If I get a chance I will post the pics. These trucks are lifted and by no means would they be able to tow comfortable. Nothing against air-bags, I have a set.
Your talking about a different animal here. Just using SD's for example, I am still amazed at the number of people that spend 45-65K on a "diesel" truck and then lift it anywhere from 6-12 inches over stock, add tires that are grossly over sized and then expect anything but less then perfect ride.
You cannot add over-sized tires and lift without "shocking" correctly. The un-sprung weight difference alone will cause the issues you are referring too. Besides, after doing all that work the diesel just becomes "bling"
Two of the air ride kits I have looked at include shocks that match application. One kit has shocks that adjust the damping in relation to the air in the system.
Air ride gives you the advantage of adjusting the ride height to the load. Something normal springs cannot do.
There is a reason many OTR trucks and trailers have air ride.