I think it will either be Naruto since he already asked Hagoromo about it, or it could be Madara since he already knows about it and will want to power up especially since Naruto will have the full control of the 9 Bijuus, Madara will need more strength (as we can see that he is not particularly pleased with the SO6P's powers, and his lust for power will make him want to be like the SO6P's mother the Rabbit Goddess, which is his ultimate goal from the start, cos first he combined the two powers then it was to make the tree bloom when he's back to life). However, the new Naruto and new Sasuke will deal with Madara, they will both fight like SO6P and his brother or like the gold and silver brothers, Ginkaku and Kinkaku because now they also have the Ninja tools and the right amount of chakra to do so!
For jokes: it might actually be Hinata that gets the fruit mainly because she's a woman like the Rabbit Goddess and she also has the Byakugan!!! Kishi doesn't mention any information without a purpose. =D
To be honest, there might not be any fruit unless he is able to cast the Eternal genjutsu!

:yeah: