Lol No. Pain Arc Sm Naruto didn't solo. He was beat until Hinata triggered his anger. No, Kaguya is a true immortal; Naruto isn't. And all of the listed is irrelevant, since they don't counter her S/T technique.
Nah, Naruto needs Sasuke's ability to truly be stronger than Hagoromo.
No bro, naruto soloed 5 peins but for the last, hinata only triggered his anger as you mentioned.
Naruto could kill last pein if he hadn't a Intel regarding frog song. Naruto tried to save toad but got trapped.
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Otherwise naruto would kill the last one too.
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FYI, its actually the plot who restricted naruto to kill last one because ma toad could kill last pein by this:
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And keep the fact that it was naruto who recently came from mount mbouku and he hardly gained control over sage mode.
For hagoromo, you might be right but it actually depends on feats which we haven't seen of 30+ naruto and hagormo.
For kaguya, if you mean sealing tech then you might be right but do you remember naruto has sealing variant rasengan too. It might work on kaguya.