That's... just not really true. Maybe in some parts of extreme helicopter parenting, but it's really not a global truth. If what you say is true in US then perhaps the upper poster wasn't so wrong about the state of the country :/.
The implication wasn't that parents are watching the kids at all times when they're with others, but that someone was. There are almost no situations in which kids are left alone with someone other than their parents, apart from babysitting.