after the fight, Hiashi will see Neji in the rest room and will explain to him how his father decided to sacrifice his life even when Hiashi had refused that Hizashi take his place.
He did this not to save the heir of the main family which he always hated, but in order to save his brother because by doing that, it was the only time in his life that he had the freedom to choose.
He asked his brother to tell to Neji that he choose death as freedom in order to disobey once the Hyuga destiny.
Neji ask with anger why does he should believe suddenly a story like that, and that it seems to be just a convenient escuse created by the main family.
Then Hiashi answers that he thought that it would be his answer and that's why he waited to tell him the truth.
But he wants now, not as a member of the main family, but as Hizashi's brother, he wants to tell to Neji his younger brother's final words.
After these words, he kneels in front of Neji, and beg him to believe him.
Then Neji.... you will see that the next week