Copy. My language was not clear. Once you're already there, there's no problem with sending you out of town. They did that to us at Cannon for almost every medical need. That said, I've had assignments to good spots turned down for lack of 'local' specialists, even when I've known they exist. Due to the high human involvement, EFMP becomes a very individualized process, and not always for the better if the gaining unit doesn't want to go to the trouble of doing a little research.
EDIT: We eventually left Cannon due to EFMP. It's not all bad.