The data seems to contradict this. "Estimates of preferential attraction for children among those who offend are often in the ballpark of 25% to 50%"[0]. Granted, this is talking about preferential attraction, but estimates on the percentage of men with non-preferential attraction factor in at a much higher percentage of the population than pedophiles (and others we assume are preferentially attracted). Other than this, it still seems to leave a segment of child abusers who do not enjoy their actions sexually, but for other reasons (say, power).
>This hasn't been shown to be true.
To some degree (and I suspect, to a similar degree to pedophiles) it has, see my comment here[1]. Exposure to pornography is usually shown to trigger or at least intensify feelings of sexual agression, either physical or verbal, even in non-experimental studies.
> the consumption of CP has been shown to create the urge to engage in pedophilic acts in pedophiles.
Is this true of all pedophiles generally based on a sample of the pedophile population, or those recruited to take part in such a study after being convicted of child abuse (contact or non-contact) offences? I can very easily see the fact they've been convicted as being a huge confounder here.
Just to be clear, I'm not arguing that CP should be legal; I just think that on the basis of the available evidence, I can't see any reason to illegalize fictional representations. I think the alcohol and regular porn comparison holds quite well. The longitudinal study data which contradicts the theory that increased availability of porn does not lead to higher rates of rape is simply unavailable for child porn, perhaps with one exception, though[2]. The link between inebriation and likelihood of sex crimes is to my knowledge undisputed, though.
[0] References here: https://www.b4uact.org/know-the-facts/behavior/
[1] https://news.ycombinator.com/item?id=23789827
[2] http://www.hawaii.edu/PCSS/biblio/articles/2010to2014/2010-p...