This is a big fundamental mistake. Women are just as capable as men of lying.
The principle of "innocent until proven guilty" was established over centuries of very hard won experience of why this imperfect principle works better than all the others that have been tried.
How sad that the left of 2019 has forgotten this history and now needs to relearn it.
However regarding statement Women are just as capable of lying as men, I suppose this is true but I also wonder if there aren't particular crimes that have different levels of lying about than others, and different types of lies. For example a companies office gets burglarized, an expensive ring was in the office but was not stolen. I would expect this to be a temptation to lie and say it was stolen, because it gives a benefit and who does it hurt, the insurance company whom everyone hates or the burglars who you would like to hurt at the moment.
The question to me is what is the rate of lying that people would want to do about about sexual assault. My gut feeling is not that much, but of course it's a charged subject so I bet nobody is really researching it and able to tell us what the rate actually is.
on edit: clarifying that the word overreaction is used under the supposition that the application of #1 if it results in a false statement being believed then that is an 'overreaction'
If an accusation is investigated thoroughly with evidence examined and carefully weighed, there are serious costs to making a false accusation (also, unfortunately to a truthful one).
If an accusation is just accepted at face value and the accused is automatically shipped away to whatever punishment is mandated, making a false accusation is much more attractive.
So the idea that "since women never lie about rape we can stop investigating rape accusations" is a bit like the anti-vax idea that "since measles is rare, vaccinating is pointless".