Those stats add another layer of strategy to the game...
If I were up against Wasamin and would know her stats, I would assume Wasamin knows I know her stats. So instead of going for the most obvious choice, which would be 'paper' to beat Wasamin's most frequent 'rock,' I would go for the least obvious 'scissors' to beat her 'paper.' However! From the Wasamin point of view, it would be best for her to pick scissors, because that's the odd choice in this case. With that reasoning, Wasamin's opponent should pick 'rock.' No wait. She shouldn't pick 'rock' because I want Wasamin to win.