First, I don't think anyone has proven that drawings actually appease any desires to abuse children. Comparing child abuse statistics from two wildly different countries doesn't come close to establishing that. But I will allow that it is a possibility.
There is still a huge difference between pedophilia and homosexuality, and I think it's actually pretty insulting to homosexuals to compare the two. There's still a huge difference between pedophilia and heterosexuality. I think you know the difference. Two adults willingly engaging in a homosexual or heterosexual act is nothing like an adult performing a sexual act upon a minor. In one case there is consent, in one there cannot be consent. To try and piggy back pedophilia on the goodwill gained by the gay rights movement in recent years is especially troublesome considering the historical conflation between homosexuality and pedophilia in anti-gay circles.
The only difference between homosexuals and peadophiles is a law that prevents one of them from acting on their urges. That's actually only been a difference fairly recently after countries started adopting an age of consent and they stopped banning people from having homosexual relationships (although they're still outlawed in some countries).
You don't choose to be sexually attracted to things. Ask anyone who's gay or straight and ask them if they actually chose to be attracted to who they are. You hit puberty and that's when your sexuality is defined , you have little to no choice in the matter. I'm a straight male and I couldn't suddenly turn around tomorrow and say "well I'm attracted to men now, I'll be gay from today" because that's not how it works.
I think it goes without saying that it's correct to criminalise peadophiles who react to their urges as it's wrong both by law and by moral standards, but I think criminalising anyone and demonising someone who does have that sexual attraction when they try and get help and won't act on their urges is terribly wrong and it's what leads to the cases of rape in the first place.
Also to do with this topic itself confusing ephebophillia which if anything the characters in the games we're talking about would be classed as is wrong because they're entirely different kettles of fish. Someone who's gone through puberty is physically ready to mate/have children and it's only the age of consent law which varies by country that depicts when those people are legally allowed to consent to sex. The characters in the majority of the games talked about are between 15-19, not 8 or 9 like some people seem to throw out for no apparent reason.
EDIT: Another huge misconception is people seem to confuse finding something cute/adorable with sexual attraction as well. That seems to come up a lot of the time in these sorts of threads.