That's key.
In Close Combat, the Byakugan's enhanced perception isn't going to be as effective in this match-up as Neji is likely not forced to have to react to attacks that originate from multiple different directions. In CQC where both targets are within each other's normal LoS, Sasuke's 3T Sharingan is superior in the idea that it can predict attacks and determine where they'll be in a matter of seconds, enabling Sasuke to react in advance whereas Neji doesn't have that benefit.
Though regardless, if Sasuke attempts to react in advance, the Byakugan's enhanced perception would pick up on it as the Byakugan emits a veil of chakra that enables him to pick up on anything in every direction, so instead of lunging forward at Sasuke, he would pick up on Sasuke's body shifting to another location and react through Kaiten or emitting Chakra throughout his entire body.
In my opinion, it takes Cursed Seal Stage 1 for Sasuke to win this match. Without it, I'd imagine Sasuke would lose. Yes, 3T Sasuke trashed KN0 Naruto, but KN0 Naruto's Taijutsu skill is less refined and he lacks the extra perception that the Byakugan has, so I don't feel that instance is applicable here.