Sakura began to see through those attacks quite early on:
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- Note the term "even without my assistance, she can do it". Which means Sakura could have done all the punching and the dodging all on her own by now. Now if you want to argue a clear cut manga statement, then we have no agreement.
Sakura is shown reading his movements, and Sasori acknowledges it:
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Want another acknowledgement?
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Now despite being hit, she was still fast enough to pull out the rope, all of it, and yank him back:
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Sasori isn't even that skilled with multiple puppets. How many of his got crapped on by ten puppets and Sakura? Let's see:
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Sakura easily dodged this many puppets:
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Not only that, she ran from all the way over to the right, and reached Chiyo BEFORE Sasori could blitz her:
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He wasn't taking them seriously? Are you sure?
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- As soon as he brought out Iron Sand, he went at them with an intent to kill. That was way early into the fight.