Let's see.
Naruto even not tried break out genjutsu and not used Kurama for help= Sakura>Naruto Lol
Are you going to deny Sakuras skill? Sakura didn't need help to break out of genjutsu and Kurama was no where to be found once Naruto was placed in genjutsu.
That would make sense.The only logically explanation is kurama was sleeping.
Perfect jins are immune to genjutsu. In the last plot required Naruto to see Hinata's dreams. He would be awakened by Kurama eventually anyway.
Mangafact:
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Kurama didn't break out of anything and Sakura broke herself out n Naruto.Bee solo'ed Itachi's genjutsu.
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Hostless Bijuu =/= PJ
Manga facts: Perfect jin was controlled by Obito for years.
Danzo said Sasukes MS genjutsu was weak compared to Tsyukomi because it alters the perception of time. Against this Bee has no counter...
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Half of this was addressed in my OP.