You're right that children who are molested often have psychological problems later in life.
However, that isn't universal. In many societies children engage in sexual activities with adults as soon as they are physically able to. And while it's may be tempting to dismiss these societies as deviant, backwards, or simply promiscuous, many of them also have greater restrictions on sexual conduct than many Western cultures (for example, considering any sexual contact with a relative from a lineage going back seven generations, or by marriage going back four generations incest, punished by exile). And yet, in these societies, children grow up with no more psychological problems that people in general, likely because child molestation almost never happens. There's no need to coerce, trick, or otherwise take advantage of children, and no backlash for adults and children behaving like every other large mammal on the earth does.
That isn't a free ride for pedos. They (meaning those here on 4chan) likely live in a society which discourages any expression of childhood sexuality, and should be aware that that if they engage in sexual activity with children, it's almost always harmful. It is, however, a recognition that that harm is as much a result of societies response to sexual contact with children as it is a result of that contact.