Yeah, but you have to consider the fact that he'd avoid being fodderized by Genin Level Genjutsu.Naruto could not even break finger genjustu that training didn't mean much and he failed at training naruto to control Kurama. The only thing he was successful in training naruto was the rasengan.
Who knows what they were doing because the didn't spend much time training.
And it actually did come in handy as Naruto initially managed to resist the illusion, but Itachi used a greater chakra which managed to overpower Naruto.