Flaw In Logic:Mokuton grabbed the PS sword, but was cut by it
There's also a flaw in your logic...unless I'm remembering it incorrectly, didn't Mokujin stop the blade with a two handed clap were both palms came to rest on the none sharp sides?
Naruto stopped it using a manifested hand of Kyuubi and just grabbed it with one hand were the susanoo blade would collide cutting edges directly into the fingers...but it didn't.
addressing the person who said Gai broke Madara's onmyoton shield...we don't know exactly what happened anything anyone outside of kishi says is pure speculation...remember techniques in Naruto also take concentration to maintain there shape. Gai punched Madara in the head, which could have broke his concetration and resulted in his technique falling apart...to show us that Gai could break it, the scene would have to have been set up like Sasuke chidoring Gara's sand shield.
now about op's question...no one can say definitely if he can or can't. I myself personally think he could as long as he still has a chakra avatar. back in part1 Orochimaru's Kusanagi was sharp enough to scratch a staff with diamond hardness, but it couldn't do anything to four-tailed Naruto...and the only thing we have seen capable of piercing Bijuu shrouds/v2 forms is lightening element chakra. we have already seen on a similar scale that Kyuubi mode>>Susanoo swords cutting power. So I feel that If Naruto gets a new chakra mode, it'll be able to Tank a slash from Susanoo...but if Sasuke can incorporate his lightening nature or blaze release into it then no