Rematch Double or Nothing

It has come to my attention that there is literally no extra incentive on chess.com to rematch your opponent. In and of itself, this is not a bad thing, but its not quite as fun as it could be. Now, when two people are playing in person, they are not playing for points. My thought is that rematches are uncommon on chess.com at all levels because the winner is often playing merely to keep his points. This is fine, but rematches often seem to take the character of "double or nothing" where the winner has more to lose than the loser. Not to say that this is a bad thing, but what would be the impact of actually having a double or nothing rematch system. In other words, what if the winner or loser could take double his opponent's points if there was a rematch? This might make rematches more fun and there might be more rematches across the board, adding unique flavor to the competitive nature of chess.com.