The thing is SM based on feats is fast enough to dodge Susanoo arrows. While shunshin and footspeed is not as fast his agility and reflexes are in SM.
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So essentially Naruto may not be able to run faster than the arrow he is capable of dodging it at the last minute based on his agility feats vs third Raikage.
Also before we continue this I would like to say my original words were based on the field.
An open field with range is suicide for Naruto however an enclosed area he stands a better chance as Susanoo movements are restricted.
Would Naruto win eventually? Probably not
Would it be a game of endurance? Absolutely
but based on SM Feats and not opinion Naruto reflexes is capable of dodging susanoo arrows