In Australia young looking porn actresses/actor and loli hentai are illegal because they promote CP as a fetish.
There is an anime I really liked, "Miss Kobayashi's Dragon Maid", except that there are small children (7-9) that while are never depicted in sexual situation are often given excessive sexual maturity; I found that extremely unsettling (I never finished that otherwise truly beautiful series for this reason) because it is how one would try to normalize the idea that "maybe a kid would like it".
In a sense I think we should treat CP as the correspective of hate speech. Hate crimes : hate speech ~ child abuse : CP.
This highlight the conflict free speech vs censorship.
If you are still reading allow me one last opinion :-) another problem with thinking that a problem is simple is that you might miss an important connection between seemingly unconnected problems.
In any case, a search engine (like Google or Bing) may decide to ban sexual content like Lolita, for being sexual + about underage minors.
As for an actual case of actually pornographic material, I have another example: https://news.ycombinator.com/item?id=18877901
I talk about an actual pornographic case in this post. A 14-year old girl sends a sexually explicit image to her boyfriend, and is therefore charged with distribution of child pornography.