False accusations happen, but statistically speaking,
they happen so infrequently compared to accusations that turn out to be true, and unreported cases altogether that it's comparable to climate "scientists" that deny climate change (2-3%, according to the FBI). The only places where it happens as frequently is in Lifetime movies and in mens' imaginations, but the math just isn't there.
You're essentially saying that the anomaly, the one exception, is enough to question the validity of any victim. Except that's the mindset that's protected assault and abuse, and precisely *why* it's taken so long for victims to speak out. That atmosphere of disbelief is the major deterrent in unreported rape and assault cases -- the victim's fear being that no one will believe them, that they're completely isolated and their reputation ruined, and worst of all, the accusation that *they* are at fault.
If this topic were about climate change, it would be like questioning entire fields and multitudes of trained scientists because you had one cold day in August. Or because a coin didn't roll off your desk, it thus "proves" the world is flat.
This article probably sums it best -- skepticism is one thing, but the default should be to assume truth and then work to prove or dispel it because rape is so common in the first place.