The believers are only those who believe in Allah and His Messenger and, when they are [meeting] with him for a matter of common interest, do not depart until they have asked his permission. Indeed, those who ask your permission, [O Muhammad] – those are the ones who believe in Allah and His Messenger. So when they ask your permission due to something of their affairs, then give permission to whom you will among them and ask forgiveness for them of Allah. Indeed, Allah is Forgiving and Merciful. ( An-Nur : 62)
It says here that those who ask permission to leave are believers. But we know that the hypocrites also asked the Prophet for permission to stay at home during the jihad:
Allah has pardoned you, why did you give them permission [to remain behind]? [You should not have] until it was evident to you who were truthful and you knew [who were] the liars. ( At-Tawbah : 43)
Maybe I didn't understand something in this verse 24:62, so I turn to the knowledgeable for clarification. Does this verse mean that every person who asked permission from the Prophet was a believer? If not, why not?