No, because facts say so. Hinata's reflexes are ages above Sakura's.
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More Chakra = Better Reflexes & Speed
With Sakura, we see that, when she is attempting to revive the fallen Naruto, she specifically points out her Chakra levels are super low, despite already having the Yin Seal, forcing her to go from using the Mystic Palm Technique to simply attempting CPR.
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Yet, later, we still see her use a massive amount of Chakra to help save Sasuke. This means that, despite her Chakra levels being greater than a Rikudo Naruto Shadow Clone’s levels, Sakura does not have access to ALL of the Chakra in her seal whenever she pleases, akin to how Naruto does not have access to all the Chakra of the Nine Tails in Part 1, though she can still transfer it to others, likely because, like Madara with Kaguya, her body is unable to handle so much Chakra actually being in her system and instead she must rely on extracting small amounts from the seal, amounts that she herself can actually handle.
Thus, Yin Seal does not affect her speed or her reflexes.
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Also, Sakura and Hinata ended up running out of Chakra
at the exact same time, yet Hinata was on the battle field for 48 hours straight, in arguably the most chaotic area of the war due to the Zetsus, while Sakura was chilling in the medic corps tents. This is also another indication of her superior Chakra levels.
Of course, there is a far better and more direct comparison of Sakura and Hinata’s Chakra levels in The Last. We see Hinata recover Naruto’s drained Chakra pool within an instant, not even showing any signs of fatigue either, while Sakura takes three whole days to do so with every ounce of her Chakra, whereupon she is so exhausted to the point that she’s forced to lie down herself. Sure, you can argue that Naruto was completely unconscious with Sakura while he was merely on his knees with Hinata, but that doesn’t change the MASSIVE difference in the time and the resulting fatigue of both girls, which is non-existent in Hinata’s case. Not to mention Sakura, again, isn't able to tap into all of the Yin Seal's chakra as she pleases for her OWN use.
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Here we see Kakashi with his Sharingan activated in order to keep up with Lee’s movements, and we also see Neji doing the same. Obviously, this means the reason he has his Byakugan activated is to also be able to keep up with Lee.
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Later, we see another example of this with Hinata when Obito becomes the Ten Tails Jinchuriki. The transformation is seen twice, one normally, and one through Hinata’s eyes.
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Notice how in Hinata’s vision, there are far more panels used to display Obito sealing the Juubi? This indicates that Hinata too was using the Byakugan’s ability to keep track of high-speed movement, allowing her to see the Juubi being sealed away in detail. Moreover, Hinata notes that there were at least two ways she was able to tell the Juubi was absorbed by Obito, as she says “Judging by the Chakra as well”, meaning there would have been another method to how she knew the Juubi was sealed, that being that she simply saw it happen.
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64 Palms is a true testament to Hinata’s amazing taijutsu prowess.
Notice what Kakashi says. REGARDLESS of having penetrative vision, to be able to hit the Chakra Points in the heat of battle is something this man finds amazing. And this is Kakashi simply speaking of the Gentle Fist itself, not even the 64 Palms, a combo attack that pushes the Gentle Fist to its limit.
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With 64 Palms, Hinata needs to react, aim, and move fast enough to align the tiny chakra points at the edge of her fingers which are as small as the tip of a needle with the various equally tiny chakra points on an opponents body 64 times, all while maneuvering around in the heat of battle in a manner and speed so as to prevent her opponent from escaping her combo attack. Not only that, but the attack starts with 2 jabs and ultimately ends with 32 jabs, meaning Hinata is capable of dishing out 32 jabs in a matter of a second or two. Pretty sure that qualifies as better reflexes, precision, and skill than getting kicked by Omoi, a fodder in Taijutsu. but yeah, Sakura's reflexes are better.
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Then there is their short taijutsu feats in The Last.
With Sakura, it’s nothing impressive. She fights off a bunch of maiden puppets that were designed for service rather than combat, and her taijutsu itself doesn’t come off as that impressive when noticing that all the maiden puppets just fly towards her with no coherence.
With Hinata, she fights against the same puppets that gave Hiashi and Naruto trouble. During the fight, with no Byakugan abilities and pure taijutsu, she redirects the momentum of one of the puppets, sending it flying, dodges an attack from above before proceeding to double kick two other puppets and black flips off of one of them into the air. Landing, she then, without even seeing it, dodges a puppet who attacks her from behind, and finally proceeds to take on two other puppets before being stopped by Toneri. Heck, she even manages to incorporate kicks into her fighting style such a thing isn’t even PART of the Gentle Fist Style.
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Two quotes to note from here.
“Even if you can see it, if your body can’t move, there’s nothing you can do”
"I wouldn't run with that speed straight towards into my opponent in that manner. A straight forward attack makes it easy for the opponent to counter”
We know that not only can Hinata keep track of high speed, but her taijutsu is also very fast, evidenced by the 64 Palms, again, as noted above, and the Air Palm, which is noted as being a very fast strike. Sakura herself is nothing more than a straightforward fighter, often doing nothing more than dishing out simple punches that hold very little value or worth in a legitimate taijutsu battle, as shown time and time again.
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Literally the exact same pose and punch every damn time.
Compare that to someone who can rapidly and accurately hit 64 tiny points in battle, and all the evidence is in favor of Hinata in a taijutsu fight, even IF Sakura’s foot speed is faster, simply because Hinata’s eyes would keep track of such speed and her superior, faster, and more dynamic taijutsu would allow her to counter such speed and mundane combat skills, and, as Lee said, Sakura's speed would not matter because running straight forward at high speeds towards an opponent is asking to get your rear handed to you, especially one like Hinata, who could keep track of such speed and react instantly.
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Sakura admits her reaction time isn’t that great either, and before any chime in about it being early Part 2, no. We literally never see her improve any of her skills all through out Part 2, we get no evidence of her training to improve her taijutsu prowess, so there is no reason to assume it did. Instant reaction means reacting to things at close range, such as Sasori's poison needles, and we see her fail this three times later down the line with Omoi, a Zetsu, and a Wooden Spike, the same Wooden Spike Hinata DOES manage to react to at close range.
And, of course, Chiyo states you need plenty of fighting experience for such things, and last I recall, Hinata was the one who spends her time constantly in grueling training, even trained with Neji, and was the one fighting on the front lines of the war, unlike Sakura. Again, evidence this with her 64 Palms, which requires great accuracy, speed, and reaction time to implement properly, and we have even more evidence of Hinata’s superior reflexes.