That's their framing, it's not what they actually do.
If Collective Shout was a group that studied which things caused harm, and then campaigned against those things, then the point you're trying to make could stand.
They're not. They've campaigned to ban rap artists, GTA 5, "50 Shades", lingerie ads, whatever random thing is around at the time - always under the pretext that it harms someone, but never with any evidence or substantial arguments that it does.
In practice groups like this campaign against whatever they don't like, so it's correct to refute them on those grounds.
