"Won't somebody think of the children" is as old as time and works. That's why it's used so often. If it were ineffective at convincing people to give up their rights, it wouldn't be a thing.

and what I'm saying is that I'm not seeing the data to back up that claim.

California, for example, has all those propositions they vote on, about various things they're allowed to decide. the recent age verification bullshit, however, doesn't seem to have been put up to a vote.