"the world is very different to when we were children so no, they aren't going to be able to have the same freedom"
Is it, though? Is it really that different... two children in my year died when they fell through a roof they were climbing on at 9 or 10. Nowadays their parents would be pilloried for negligence but then it was accepted that kids got up to mischief but tragic outcomes were rare.
We know the names of April Jones, Holly and Jessica, Madeleine McCann etc because these are rare and isolated incidents.
As someone with OCD I have been taught through therapy to consider risks in terms of a) probability and b) perceived awfulness of the feared event... when it comes to our children, (b) is always going to be beyond huge but it seems to me that the probability of these things happening is being blown out of all reasonable proportion with respect to the measures parents are expected to take to keep their children safe.
Not allow them go off with a strange man? Fair enough. Watch them at all times no matter what the context? Excessive to the point of being a clinical anxiety disorder if you ask me.