Oh my, XiyoReven, a little obsessive are we? I don't see how listing things in a different order can be incorrect, but as they say "De gustibus non est disputandum."
Cool game, could be better, but it was fun. I'm pretty sure that the deck strength does have an affect. I won one and lost two with even deck strength, and then won 4 in a row once I changed it in my favor, so either it does something, or I just got really good at this game really fast...