A person from a "save the children" group is unlikely to lean towards liberty because they want to basically have an excuse to punish someone without due process and without worrying about pesky things like basic fundamental rights.
They're kind of optimized for that. That's what they get paid for.
So, when they open their mouths, and say some crap, it's not really meaningful and they're probably going to put a lot of emphasis on the bad or negative hypotheticals.
Also, quite a few of these groups have stranger motivations. They might be religious extremists (some would call them cults), or they might be associated with these culture warriors in government (quite literally how they get funded).
Perhaps, someone wants to get revenge for some personal incident. There are quite a few of those.
To be fair, there are a few which aren't as bad. One spoke out in opposition to the chat control, for instance, although there are still quite a few which are pretty bad.