I apologize my comment didn't survive the crash.Every single one of these arguments also applies to the mosque shooting video. I just see no other way to be internally consistent.
The problem is some things are never going to be logically consistent.
It's why in society we find rape and child rape completely different in magnitude of awfulness. Why abuse (domestic/etc.) and child abuse are handled differently.
In this comparison though I'd argue violence is different as normally CP has been shown in studies to be an accelerator to pedophiles/child molesters. (A different case comes from lolicon where real child predators won't touch it because they will find a way to get CP) Where as the shooting is slightly different. violent actions on screen/depictions do not cause violence in normal people. Unlike the reverse. There is no correlation to shooting videos (real or fake) leading to violent acts. Where as again Child porn is seen as an accelerator and even a drive for some pedophiles.
In regards to freedom of information. This is a double edged sword on child rape, because if someone is handling them, and reveals the data, they could target the child, or buy the child from the handler thus doing what I mentioned above. Where as mos often if people need to find the child/location it's often best left to the authorities, whether they're reliable or not. It's why in the old days Anti-child predator groups often got in trouble for mistaken identity and attacking innocent victims who happened to look like known pedophiles on that very premise.
In the same instance of freedom of speech by analogy. You normally can't yell "Fire!" in a crowded theater, or some other statement that would lead to mass hysteria or incite violence. The real truth is certain lines (exceptions) are drawn based on the concept that certain factors are detrimental are dangerous being allowed even with the promotion of freedom of speech/information.
Who decides these exceptions is generally held by society itself. Whether you agree or not.