Wrong on both counts. Your opinion is wildly popular because it is so appealing to sexual oppressors and the people who identify with them. It's only very recently that women were offered the grace of being believed.
When I tell people I was mugged once, everyone believes it and no one accuses me of playing the mugging card. When someone else claims they had their house broken into, I don't see any doubters talking about the burglary card. Let a woman say she was raped/coerced, and more than half the country assumes she is lying and talks about a rape card.
I leave to your comfortable lies. Your supposed rationality is a masquerade, the new clothes of the emperor. You will believe as you want, regardless of what I say or what evidence I provide, because you want to believe the lies.