Controlling your sexual desires should be trivial

Maybe it should be, but is it actually trivial? Addiction in general is a real thing, isn't it? For someone with say an eating disorder, maintaining a healthy diet isn't trivial at all. Paraphilias are different morally where they involve harming others and not just yourself and so it's more important to not act on them, but I'm not sure that means it's easier for a person with a paraphilia than it is for other sorts of people struggling with controlling their behavior.

IMO what it comes down to isn't whether these people deserve sympathy though, the more important consideration is preventing abuse. To me what the OP image shows is that the "just kill 'em all" attitude is unhelpful bullshit leading to pedophiles and abusers hiding in plain sight. What would be better is a conditionally supportive community that knows what they are and keeps tabs on them well enough to make sure they stay away from kids.

I get what you are saying but I think it's probably easier in general for people in normal relationships because even if they get rejected, they have an opportunity to form a relationship with someone else. Someone attracted to minors never gets that chance. They aren't allowed (for good reason) to even try.

Obviously pedophilia isnt a great thing and pedophiles who abuse children should be punished severely, but I don't think it's a choice to be born attracted to minors. So it's unfortunate for them. Definitely not an easy topic.