Yes but the courts are legally empowered to lock someone in a cage for years. So they should be working by a different standard than a company firing someone.
I don’t know many people that would prefer the later, since being locked in a cage also comes with losing your job, a horrible accusation proven true (or admitted to) in court and a public criminal record.
Losing your income and being publicly shamed sucks, but you still can rely on close friends and family, a public safety net and lawsuits (if you’ve been defamed or illegally fired), while enjoying sunshine, fresh air and freedom of movement.
Yes, false accusations are indeed a bad thing. But the point is that people choosing to no longer associate with you is very different to people forcing you to live in a cage under the threat of violence.
Both are unpleasant. One is worse. Thus the burden of proof is different.