I'm going through the entire U.S. Military Academy West Point site search features. I don't see anything about scholarships being back billed or even terms. It seems from all I'm reading, that if a scholarship was awarded, terms for the award were met in prequalification.
I'm presuming that there's an item in the agreements that the cadets make with WP that allows the Academy to back-bill students who are removed and separated from the Army. I doubt that they'd put that sort of thing in their information for prospective cadets.
One of the brave and handsome Sgt. Phantom's old platoon lieutenants was quite overweight, and failed a PT test or two. He was put on what is lovingly referred to as the "fat boy program." He wasn't separated, though. For both officers and enlisted soldiers, it takes quite some time for the Army to chapter you out for your weight (at least in infantry...my husband says it's harder for infantry to "chapter" out soldiers for any reason).