When Chiyo made her statement she didn't seem to be explicitly referring to her and Sakura. Chiyo says "
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", which implies that what she was telling Sakura were more along the lines of being the most basic rules of combating any puppeteer.
Chiyo was referring to the idea that one requires a high level of battle experience to know the ins and outs of traps as well as having the reflexes needed to evade them. She was directly referring to the idea that her battle experience paled in comparison to Chiyo's which was why Chiyo was more suited for that.
This is true. But, Sasori continues to say things such as
"even the brat",
"that's it you old hag!", and
"no wonder even that little girl would be able to avoid my traps". This would mean that
Chiyo's reason for controlling Sakura is because she was more reflexive then Sakura was? Sasori even says here that Chiyo
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Even if she didn't have knowledge, her puppeteer expertise and knowledge of at least Sasori's older puppet must have played a role here. I don't think that Chiyo was going off of reflex alone.
Chiyo seeing all of his traps does not imply that she was able to react to them because she was aware of Sasori's traps. As proven before, Chiyo didn't, so we could chalk that up to both battle experience and reflexes which is both something Sakura obtained through the War Arc.
I agree though that Chiyo's experience dealing with Sasori's Hiruko was partially due to her knowledge of puppetry, but she still admitted that Hiruko modified some of his older traps, so it wasn't entirely because she had experience in puppetry that she could react to his attacks. Furthermore, Chiyo states that the trap's effectiveness comes from the fact that these traps are launched everywhere:
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But didn't Pre War Arc Sakura prove that she could evade traps similar to this through Sasori's Satetsu:
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This was one of Sasori's best attacks from Sandaime Kazekage who is known as the Best Kazekage the Sand Village has ever had yet Sakura managed to evade most of it, enough to only have parts of her body grazed. Since War Arc Sakura not only has higher battle experience, but significantly higher reflexes, evading Sasori's traps shouldn't be a problem.
Of course, it's still a tricky battle because I'm of the belief that Sasori could simply manipulate Iron Sand and use it for aerial combat which could place Sakura at a disadvantage. I still see Sakura winning this fight, but due to Iron Sand's ability to be manipulated to suit any situation, Sasori could potentially cause Sakura to struggle through aerial combat.