No, that's a misconception. From Castrati history:
Many of the castrati’s well-documented personality disorders were a direct result of their disfigurement, as well as their inability to lead normal sex lives.
Why can' we castrate all child molesters? Doesn't castration remove all sexual urges and thus eliminate the danger from such people?
Maybe, but why not be sure and execute them?
There are many reasons we punish people: punishment, retribution, deterrence . . . I can't think of a reason to give a child molester a 2nd chance. (that being said, there is a need to classify the crime. So that we differentiate against the 'sure thing' criminal and the 'questionable crime'. Sure thing being the admitted molester the person where we have video, photo, evidence, etc.)
No, that's a misconception. From Castrati history:
Many of the castrati’s well-documented personality disorders were a direct result of their disfigurement, as well as their inability to lead normal sex lives.