Injustice is bad. Falsely imprisoning someone is bad. But also, not holding a rapist to account is bad. And the latter happens 1-2 orders of magnitude more frequently than the former.
This is the same bad-faith edge case fixation that anti-trans people spout about “trans girls in sports”, ignoring the fact that said people would almost certainly never be caught dead watching professional women’s sports teams. It’s a comparatively rare issue, in the context of the original issue being discussed.
Also, the fact that you appear to be trying to litigate how bad a person should feel about rape because it typically takes “a relatively short time” is disgusting and infuriating in equal measure, and tells me a lot about who you are as a person.