It may be that the cadet needs other areas strengthened, and not just academics. My daughter is a Falcon and some of the students she is with have amazing academic records, perfect SAT/ACT scores but lacked in the physical component.
My DD the one IL Falcon Scholars, I know that another IL Falcon at MMI was also offered & accepted an appointment to USAFA. There were 3 other IL Falcons that my daughter knows of, and they all received appointments, but not sure if they accepted.