I've wondered about this as well. It would be great if ASIAIR supported importing custom object catalogs, especially for lesser-known nebulae, comets, or user-defined targets that aren't included in the default database.
For those using SkySafari with ASIAIR, can you search for and slew to objects that are not present in the ASIAIR database but are available in SkySafari's catalogs? If so, that seems like a useful workaround for expanding the list of available targets without having to rely solely on search history.