Fake rapes are consistent with every other crime amount. As in, it's negligible, but every time one is found it's held up as this big standard of "look, women tryin' ta ruin all menz!".
And "oh well, we make mistakes" is NEVER acceptable when someone is killed as a result of your mistake. Saying "sorry, the system isn't perfect" doesn't restore them to life.
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Because your narrative is bullshit as well.
Most rapes happen from people you know and trust. NOT someone you hook up with on a one night stand. NOT someone you meet in a bar. Someone you've been friends with for a while.