For the most part airbag compatible just means they have been crash tested. No after market bumper interferes with the air bag sensors. I know with my bumpers all factory crumple zones in the frame are unrestricted. Australia requires the bumpers be air bag compatible and crash tested, they also require a certain amount of coverage, this is most likely why they are typically bulky. During the crash testing process the passengers are alowed a certain amount of g-force before the air bags deploy, depending on how rigid the bumper is it is possible the passengers could absorb slightly more of the impact before deploying the air bags.
Your air bags will function just fine no mater what bumper you put on the front. I went though all of this when I was designing my bumper and while I do not have crumble zones in the brackets per say I did take this into consideration during the design process, from the sizing and placement of the winch cutouts to where I put stiffener bends and where I leave them out the bumper is designed to collapse in the event of a hard collision.
I felt this was a better route to go for a winch bumper as the crumple brackets can have problems when winching or light impacts you may encounter on the trail.