I looks more this is about managing fears and worries. This is also close to helicopter parenting, i.e. parents who are "overattentive and overly fearful for their child, particularly outside the home".

I don't know, in 90s Germany my parents just let me wait in the car for a minute and there was only the radio I could listen to. In elementary school I just walked to school even in darkness. And in high school I walked 15 minutes to the bus. That was the time when some middle class parents started bringing their children to the bus with the car, but for most of the other children is was normal to just walk.

But yeah times change. My grand-parents walked 10 km by foot to school on the street on 6 days per week after war.