This won't work. I like your thinking, but it isn't Overwatch where you can switch characters. Say you had a team of 3 sunbreakers and you play a team of 3 (whatever the sunbreaker counter will be). You are automatically hard countered and will lose the match. It's like playing 6 winstons against 6 reapers.
Maybe if we could switch characters it would work, but that's not destiny.
Overwatch is an almost-perfect example of a Rock Paper Scissors game.
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Don't compare the two games with each other - this is completely irrelevant to this threads intentions
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Preach Guardian.