GUESSING... that any mite with similar biology.. soft parts around legs and mouth that the crystals can penetrate are not going to like to OA, but I do not know enough about those mites to say for sure...
Also, the mites have to come into contact with the OA. I have read where OAV treatments helps with Tracheal mites, but am not sure how since they live in the trachea of the bee rather than crawling about the hive (or the exterior of the bee) where the crystals will settle.
Good question!