That's what the game is. Rolling a particular value doesn't get you anything; the expected value of a roll is not informative. If I gave you a die with all 6s, a die with all 3s, and a die with all 1s, and told you the rules of the game were that I give you $600 minus $100 for each point you roll, which die would be the strongest? Which die would have the highest expected value?

Note that your math is incorrect; B gets more wins from being paired against itself than either A or C do.