"it's based on "think of the children" rhetoric alone."
If I'm reading you right, the .uk cultural outlook is something like pr0n jumps off the screen and gives the kids cooties, so we have to block it like a vaccine? Kind of like how some of our own .us leftward people blame inanimate guns solely for violence, therefore ban the gun... Or perhaps more of a "they'll end up addicts unless we stop them" type thing?
Culturally wrt to pr0n, waaaaay too many "journalist" stories about the self proclaimed guardians of our morality getting busted while combining pr0n with "think of the children" (creepily, I mean it literally) so its awkward enough to totally avoid talking about. Its seen as hyper politicized in that the neocons are simultaneously about 95% of the people both getting busted for the hard core stuff while also being the ones working up an absolute froth about banning the relatively mild harmless stuff. So its very difficult to provide a "balanced news report" if one side makes fools of themselves all the time and the other just sits back and points and laughs.
We (as in .us) generally mostly do the anti-pr0n thing via "Jesus personally told me to force you at the point of a gun to do this because I will judge you, not God, therefore no pixs showing bare ankles" type of thinking, or something like that. There's more than a little hint of "no one believes this, but we're all going to agree to say we do" going thru the motions. I'm not sure how any of that is Christian as I understand it, but it doesn't bother them, so it doesn't bother me, as long as they leave me alone, which they see as a holy obligation not to do, so I guess it does bother me after all... If this doesn't make any sense to people outside the .us, don't feel bad, it doesn't make any sense to us mere consumers either (we used to be citizens, with rights, but now we're just consumers)
When I was a kid (a while ago) there was some "journalist" coverage given to feminist opposition to pr0n WRT exploitation / degrading or whatever, but thats pretty much disappeared from media thus disappeared from consciousness in the .us. We're lucky to spin up any agitprop over actual violent sexual assaults much less merely a picture or two. It was sort of the refer madness approach to anti-pr0n and it backfired and swung the opposite way, I think. Does the .uk have much of that flavor of opposition?