Great post! Completely ignored the OP's concerns and point that logically any team with a 2 man advantage for half a game should win.
I watched a Liverpool game where Gerrard got sent off and they came back to win the game, so it can happen, but TWO men down is horrible. It is not likely that one would lose a game being with a 2 man advantage. It is not logical unless it is EPL vs conference and even that is stretching it.