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OK, tanto quanto se pode confiar em Graff (e neste caso, ele não tem uma razão para mentir), eu encontrei a resposta para Valentine: NÃO .
Ender: "All boys?"?
Graff: "A few girls. They don't often pass the tests to get in. Too many centuries of evolution are working against them. None of them will be like Valentine, anyway." -
Minha resposta anterior vinculada parece responder que Peter também foi um " NO ":
Isto é o que Mazer Rakham finalmente diz a Peter em Shadow of the Giant
You weren't what we wanted as commander of the army, because people don't love you. Sorry, but it's true. You're not warm. You don't inspire devotion. You would have been a good commander under someone like Ender. But you could never have held the whole thing together the way he did."
... e, por que eles não o queriam como comandante "sob alguém como Ender":
"As I said, you weren't suited for military life. You don't take orders very well. People aren't devoted to you, and you aren't devoted to anyone else."