Not sure if 'aware' is the right word. More like anxious.

Kidnappings and murders are exceedingly rare, even more so by strangers. Abuse primarily occurs at home, with acquaintances and at places of education. Moving a child from free form play to structured classes is moving risk around, but isn't reducing it.

When there is a big community of kids, there's safety in numbers. Highly supervised play reduces the kids involved, and takes away safety in numbers in exchange for constant vigilance.

An aware person would see the numbers and Calibrate risk accordingly. There is risk involved in everything and helicopter parenting has done little to reduce it.

It's an anxiety spiral.