Most recruited Navy football players go to NAPS, so not likely to affect anyone's chances for a direct appointment. Coaches coming and going happens at every school. With no disrespect to the Navy football players, I would imagine that the talent of football being players recruited by AZ (not saying anything about intelligence, heart, drive, leadership, etc.) is probably higher across the board than that the talent being recruited by any SA. IOW, I would be surprised if most players at any SA would be starting at AZ.
That said, rumor had it that when Paul Johnson left USNA for GA Tech, he tried to encourage the (then 3/C) quarterback (think it was Ricky Dobbs but could be wrong about that) to go with him. Didn't happen.