The article cited[0] is a review of analysis from ~1980 to 2005. If you restrict yourself to only analysis that don't count cases involving alcohol as false reports, the number drops to 2-3%.
The article also notes that false reports are usually different from real reports, important among these facts is that false reports are often attention seeking, and so are examples of what society thinks rape "should" look like (violent, anonymous) as opposed to what it often is (ambiguous and often by someone the victim knows and trusts). As such, the percent of false rape accusations where a particular individual is accused of the crime are likely even lower than this 2-3% number.
> but it’s much more important that the innocent are not wrongfully punished
This depends. It's much less morally cut and dry than you claim.
[0]: https://www.nsvrc.org/sites/default/files/publications/2018-...
Also no it’s pretty cut and dry: if you punish someone who is innocent under ANY circumstance without reviewing the case under a very critical eye you might as well throw out the justice system entirely, break out the torches and pitchforks and start gathering wood for the witch burning.
Why are you taking a particular stand here about a person who probably did a thing that's much worse than the average thing that results in extrajudicial punishment, has so far received absolutely zero consequences, and is unlikely to receive many beyond his decision to no longer speak at conferences? Like why die on this hill when there are so many other forms of worse extrajudicial punishment that happen every day?