There is. It makes perfect sense; experts in the field agree with me and Dannager. You say if one repeatedly imagines an act, one will carry it out. Not so, even with pedophiles. You don't seem to understand that in taking out their sexual desire by watching little children in animations, it curbs their then-and-there desire to interact directly with children in the real world. It is exactly like masturbation:
Most masturbation is done while fantasizing about having sex; this is pretty much fact. The one who is doing the deed takes out their sexual desire through masturbation; when they are finished, the desire is gone, for then. It will probably come back up, but they can touch, it's no problem.
This analogy is perfect.
As a sidenote, here's a passage from Wikipedia on the treatment of pedophilia:
Treatment
A number of proposed treatment techniques for pedophilia have been developed. In 1981, writer David Crawford reported that the success rate of these therapies was very low.[47] Crawford's article did not address the use of Depo-Provera, today the most common drug used to decrease libido in sex offenders. Dr. Fred Berlin, founder of the Johns Hopkins Sexual Disorders Clinic, believes pedophilia can "indeed be successfully treated," if only the medical community would give it more attention.[20]
British inventor Adam Hildreth developed a computer program to catch internet sex offenders who pose as children. The software analyzes the user's language patterns in comparison to his age. Adults use more sophisticated phrases and punctuation than children in writing, and so the software can identify adults who pretend to be children. [48]