No one is saying blindly believe whatever a woman says.
That's what "believe women" means though.
But the linked article plus other articles about the same incident demonstrate what not uncommonly happens when a woman or girl or presumably man reports rape.
No. "The linked article plus other articles about the
same incident" do not demonstrate that. They only demonstrate what happened in that one incident.
In reality police and the courts are very reluctant to charge women with filing false rape reports, even when there is plenty of evidence of their guilt, as in the case of Crystal Mangum.
This demonstrates one reason so few victims of sexual assault do not report. The other reasons are so easily found in posts on various forums.
Police need to be open minded when investigating rape claims, but they should not prejudge things by "believing women".
They also must require evidence to move forward. And if evidence emerges that the woman made a false report, she should be prosecuted.
Police getting it wrong in one case of a false rape report is no more an argument for not prosecuting false rape accusers, then police getting it wrong about a rape case is an argument against prosecuting rapists.