I doubt that very much. If we as a society took sex offenses seriously in the legal arena, phenomenon like Me Too that attempt to circumvent its limitations with public shaming probably wouldn't exist. There wouldn't likely be a broadly-felt need for that if survivors felt well-served by the legal system as things presently stand. The fact is that we don't.
To highlight the findings of the Rape, Abuse, and Incest National Network on the particularity of rape that you single out:
"About 0.7 percent of rapes and attempted rapes end with a felony conviction for the perpetrator, according to an estimate based on the best of the imperfect measures available.
On the other side of the incident, at least 89 percent of victims report some level of distress, including high rates of physical injury, post-traumatic stress disorder, depression, anxiety and substance abuse."
Another, similar study found that only 2% of rape reports turned out to be false. While it's impossible to fully gauge what is well-known by experts to be the most under-reported crime in the world (and frankly, it's probably a lot more prevalent than what these stats suggest, if anything), these are some of the best estimations that we have as to rates, and what it all suggests is that the legal consequences that rapists face are largely non-existent and certainly not generally severe, while psychological damage to the victim is nearly always a result. The fact is that we are very lenient on sexual violence in ways that we are not toward other crimes. One would think that correcting this discrepancy would be considered a matter of some importance at least.