Oh, I see, neither B or C know there is a middleman?
Still, it would be pointless. Not only does A not get to play, he doesn't get to see the movie replays, because he doesn't know either players password.
Still A could "win" a tournement. If one player is not in the tournement ( and the other is ©, then A's win/loss ratio can go up in the tournement in which C and A are playing. While your personal win/loss rating stays at 1/1 your tournement ratio can be 1 win, 0 losses.