Go actually check the registry. First off in many places it's the opposite eg there is no crime of rape it's "aggravated sexual battery" or something similar. Which is heavy if you know any legal jargon but easy to miss if you don't.
And second it is overwhelmingly full of serious violent sex crimes and crimes against minors under 13. Even if you're in there looking for a case like you describe they're hard to find.
The drug war is the cause of almost all exaggerated or unjust convictions, not sex crimes.