The only reason those false accusations rates are low is because the Justice system makes it difficult for people to lie.

Women could be raped and be reporting rapes, but if this is done too late or there are not enough evidences (which is a lots of cases) their cases could be registered as "false accusations" when they are not.
That's the state of the justice today concerning abuses.
All allegation MUST be taken seriously. But in the state of the current patriarcal system, where men are protected by:
- The system (see above)
- By officials (look at Macron defending Depardieu for example)
- By the majority of men in general (look at twitter when a woman is reporting an abuse)
Well.. in this case, we must create equity and believe the women who talk by defaut. It's a question of systemic protection and battle against patriarchy.