Like anything, air shocks, when used with moderate pressure will likely not cause any serious damage.
When a production vehicle is subjected to over load conditions beyond normal use, such as hitch tongue weight or heavy loads, then suspension mods may be necessary. Overload springs should be the first choice. Then shocks, either coil over or air shocks to compensate. I just don't recommend air shocks. A shock or line failure under pressure can be catastrafic.
The price for overload springs is higher ride height. A longer than OEM shock may also be necessary. I am considering replacing the coil over shocks on the Admiral with a pair of HD gas shocks without the coil spring and with a longer travel, (Imperial shocks, I think). Although all is fine while towing there is a hard ride over obstacles such as speed bumps and RXR crossings when not towing.
I keep a close eye on the Admirals rear cross member for signs of fatigue.