I agree 100%. No, we don't get their medical info either; other than qualified or not qualified. We have channels to find out a little more, but it's not really necessary. I don't think you BGO's and us ALO's are set up that different.
I've seen many applicants, similar to the OP's initial comment, where they say: "I WOULD HAVE received an appointment, EXCEPT xxxxxxxxxxxx". Many times, an individual probably wouldn't have received an appointment, even if they didn't have that "xxxxxxx 1 thing" stopping them. So if this individual definitely knows he was DQ'd medically this past season; then before attempting reapplying, believing that if they take care of this "xxxxxx 1 thing" they'll get an appointment, I always suggest they talk with their ALO/MALO/BGO to see if they truly were competitive except for the "xxxxxx 1 thing". They may find that they really weren't as competitive as they thought.
I know it sounds like I'm repeating and rehashing. Just want others and the OP reading this to not think that I'm saying "Don't Reapply". I'm simply saying; "If you're going to reapply, get everything lined up. Get as close to a real understanding of how competitive you were"; prior to starting the process. An ALO/BGO/MALO can tell you that you were their BEST applicant; but you might not have been anywhere close to the other applicants in the state with a different ALO/BGO/MALO who did receive an appointment. Your ALO/MALO/BGO won't be able to answer all your questions, but if they're honest with you, you can get a truthful understanding of how competitive you really are.
I just find it discouraging when an applicant says how close they were to getting an appointment, and they are bragging about their resume and you discover they weren't really that close. If a person isn't going to reapply, and instead attend a civilian college/university, then there's no problem with believing you were one of the best and the academy missed out on a great cadet because they didn't appoint you. It's part of human rationalizing and self worth. Nothing wrong with that. But if you truly are going to reapply, then it could be beneficial and self enlightening to have your ALO/BGO/MALO say: "You really were in the running" or "Your scores were good, but they weren't really like those of the one's who received an appointment".