Well, I'm not sure why she would think that, but I would caution not to base decisions of this magnitude on feelings like that. Way back when Noah was still a Midshipman and I was at NAPS, we were treated as adults and Midshipman Candidates. While at USNA, we were (mostly) treated as adults and Midshipmen. There wasn't much difference.
Can you offer us any examples of what made her think this? I'd be very interested to hear them.
It isn't high school, but it isn't a Service Academy, either. At least USMAPS sits on the grounds of the parent Academy (right?). NAPS sits on an isolated corner of NETC in Newport, RI.
Wasn't good enough? Do you two have ANY idea how many applicants would kill to be in your shoes? She's PLENTY good enough or she wouldn't be having these options offered to her!
Now look, I may play Mr. Gung-Ho Navy around here, but there is no way that I ever besmirch the honorable reputation and status of another Service Academy. If your daughter has her heart set on the Army, then she would be foolish to pass up USMAPS because of some misguided sense of how much the instructors "respect" her. That is a DUMB yardstick with which to measure a decision that will affect the rest of her life!
I strongly urge you to sit down with her and seriously figure this out. She is obviously bright enough to have achieved what she has. It would be a shame if she later regretted a decision made for all the wrong reasons.