There are some advantages of air suspension over hydraulic suspension:
1.) weight of suspension assembly is less as compared to hydraulic ones as hydraulic suspension assembly consist of additional spring (coil) which serves to support the system and the oil damper to regulate the response of shocks. On the other hand, Air shocks don't need any spring. It can give advantage of both damping and spring reaction.
2.) The stiffness response of air shock varies with the load or stroke position. So chances of catching resonance becomes virtually impossible.
3.) Also the damping coefficient is much low for air shocks.
4.) If valve is installed on the air shockers, then it allows you to change stiffness and travel according to your requirements.
It's not easy to say which is better. Choice between two highly depends on many factors such as vehicle weight, type of terrain it is being used, type of loads and shocks it will experience and amount of wheel travel you are expecting.