Pre-shipp Lee was striving to beat Neji. Unless lee gained a gate or two than Neji wins. If we going by plot no justu then lee wins. But I have a feeling Neji is still stronger than lee even though he seems weaker in shipp.
neji wins heres why lee will open the first gate and use primary lotus and from the neji can use rotation and wont affect him than lee will be tired and neji shouldnt have a hard time dealing with him