The typical story is that violent games are the cause of violence.

However, all the data shows that violent video games lowers violence.
It gives an outlet.

That serial killer that liked to rape dead women,
well he didn't start killing and raping women
until his mannequin broke.

Today it is quite easy to make a silicone doll of an underage person.
And this provides an outlet for pedophile's urges.

A person who has an outlet is much less likely to follow through with the urge. Shown in all kinds of ways through all kinds of psychological experiments.

So, why do we not allow them to have dolls?
They are banned from import in almost all countries, although China gladly makes them.

There is no one getting hurt, and everyone being saved...

But, as you have stated, we cannot have that discussion.
And currently we don't even let Paedo's live. We make their lives almost impossible (you can't live here, you can't live there, you can't work...)
Soooo, shouldn't we just kill paedo's? Even if they have never acted upon their urges?

(and in a court case, they ruled that computer generated pictures of underage people was not classed as paedophilia because no child was harmed. )
Truly we live in a messed up world.