I'm actually pro the idea of regulating your child's use of technology at the parent level. But giving the tools to government to shut off access to communication for certain groups of people because parenting is hard is such a dangerous precedent to set.
Once the mechanisms and tools to do this are in place, you're one piece of regulation away from removing the idea of privacy altogether and policing all forms of communication. You're forever building the infrastructure to enable 1984, making it super easy to turn on, and hoping the people in power never once abuse it.
All over Europe right now there's some insane things being proposed by domestic politicians. In Denmark, the same people pushing for chat control have proposed a total and complete ban on VPNs.
The impulse to safety is an understandable one in the context of children. But we aren't going to form a successful, independent, and flourishing next generation by hiding them from a huge part of modern life until some arbitrary age, and suddenly unlocking access to it in adulthood.