I like the idea of a separate point system, but ultimately winning a fight tends to sway any judging in your favour regardless.

Like Rilla said, it only tends to become necessary in a stalemate situation.

If a judge feels like a fighter has allowed themselves to lose despite having outshone their opponent in enjoyment, writing skill, and more importantly perhaps fighting as their character, then perhaps they can interject at that point and overrule the victory. There have been times when I've fought opponents who have fought in character so well they have deserved to win, and only lost because they refused to abandon the point of RPing just to win a fight.