In order to get approval, does one go through the AOA or the state board? It sounds like the process is:
1. Get the AOA to find it equivalent
2. The state board, when it comes time to apply for licensure, takes this into consideration (and is indeed a minimum requirement for licensure)
I asked a resident recently about this, and she suggested that one call the AOA around residency application time if there's a specific program they're thinking about, and ask about the prospects of getting it approved. The problem with that is applying to IM through the NRMP, where you're going to rank 10 or whatever programs, and don't know where you'll match - and then finding out afterwards that the AOA won't grant you equivalency and you can't practice in your state.
What DrMom said makes sense - for example, those that got easy approval in EM might have had an easy time of it because there are so few DO EM residencies (especially in FL where Quinn did his residency). IM may be a different story. If I, for example, wanted to do USF IM in Tampa, given the fact that there are DO IM programs in St Pete and Largo (within 30 miles), I'm guessing there's no way the AOA (or the FL board) would approve it. 😡