I would definitely think so. If you can clean glasses, spectacles and contact lenses in an ultrasonic cleaner, why not Aztek? As far as I know, there is nothing more brittle in airbrush than in spectacles.
You can't clean, say, perls in ultrasonic cleaner, due to the material of that precious stone, but Aztek isn't made of similar material.
However, keep in mind, that I don't own Aztek and never tried it on my own. Try first to clean something similar, if you are in doubt.