Plenty of celibate 'adult-lovers' prove that just because you can't get what you desire, doesn't mean you will act on it.
Even if you want to act, I'm sure there are plenty of adult sex workers who will help you with your fantasies. Still no exploitation involved.
As for your comparison with addiction, that is actually a victimless crime. Even procuring drugs (including harddrugs) doesn't lead to harm to anyone. Ask Portugal. Only when your laws make drugs so expensive that only Wall Street bankers are able to afford their addiction (and guess where a lot of cocaine addicts are!) does it lead to problems.
But there are also prison cells filled with pedophiles that do produce or consume child porn. Children _cannot_ consent and do learn from abuse. Homosexuality exploits exactly nobody across the entire world population. You said it yourself: pedophiles _desire_ something that we can all agree is harmful, and even if some individuals show restraint, exploitation happens. That's inarguable, and pedophilia carrying stigma is not unwise. Drawing a comparison between homosexuality and pedophilia blurs that distinction between and normalizes stigma against LGBT people. That community doesn't need or deserve any more demonization.
> As for your comparison with addiction, that is actually a victimless crime. Even procuring drugs (including harddrugs) doesn't lead to harm to anyone.
Addiction is a condition, and a lifelong one at that. You don't get rid of addiction, though addicts can live sober lives. In that way, it's not so different from a predisposition like pedophilia. I can empathize with both of these cohorts because they got dealt a bad hand and they can't change it.
Just because addiction shouldn't be a problem doesn't mean it is not, and just because drug use is "victimless" doesn't mean addicts and their families don't suffer and drug traffickers don't do terrible things. Have you ever seen the aftermath of a meth lab explosion? Or driven past the wreckage from a drunk-driving accident? What about seeing a family member fall victim to prescription painkillers, fueling an industry hell-bent on creating addicts? And then watch them sneak away in the early morning to withdraw money at the ATM so they can get a quick hit of something to take the edge off until they can get their prescription renewed because two pills doesn't cut it anymore?
Your final assertion might not be completely false, but it is a vast and undeserved oversimplification. People predisposed to addiction will always be predisposed to addiction. Portugal might have low rates of death from opioids and other drugs (because they're actually treating it), but they're eighth in the world for alcohol consumption. 3.8% of people in Portugal die from alcohol, which--depending on how you measure--can be more than double what we have in the US.
> But "curing" pedophiles seems to be hard, similarly to how you can't "cure" homosexuals.
I understand what you mean here, but I think you could have made a better analogy. Homosexuality is not predatory. It doesn't seek to exploit anyone, even indirectly. Pedophilia, when practiced, exploits children (directly or indirectly). Certainly, you can be homosexual or a pedophile and reject the inclinations that you have. Being a "practicing" homosexual does not harm anyone--except perhaps those with delicate sensibilities--while being a "practicing" pedophile does. "Curing" homosexuality implies changing someone's harmless disposition. "Curing" pedophilia implies rehabilitation of someone who actively seeks to exploit children for their own pleasure. Governments and organizations have no place deciding whether someone should be "cured" of homosexuality because it doesn't affect or benefit any member of the public. There is no need. Governments have a responsibility to keep children safe, though, and rehabilitating sexual predators is a crucial part of that.
The distinction is an important one. A better analogy would perhaps be a comparison to addiction. Addiction is very hard to treat, and there is no truly successful cure for it. Addicts don't harm people, but the people procuring drugs like heroin and cocaine often do.