If one strategy clearly and consistently produc[ed] inferior results compared to another strategy, that should be all we need to discard it as inferior.
I disagree. Just because Rock lost every time it was played doesn't mean that it's inferior to Paper or Scissors, to use a trivial example.
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Playing your double: Evidence that your opponent will not use rock is evidence that you should not use paper. If you don't use rock, and don't use paper, then you must use scissors and tie with your opponent who followed the same reasoning.
Updating on evidence that rock doesn't win when it is used means rock wins.
EDIT: consider what you would believe if you tried to call a coin a large number of times and were always right. Then consider what you would believe if you were always wrong.
"Rock lost every time it was played "
"rock doesn't win when it is used means rock wins."
One of these things is not like the other.