My most-feared public information film was the one about placing a rug on a highly polished floor : "You might as well be putting a MAN-TRAP on the floor!"
BogRoll you may be right about those films & horror stories of the times influencing the current generation of parents. Although I suspect the internet has a big part to play too, information & scarey tales are easily accessible and in-your-face all the time now.
I think it's that thing about the perceived risk appearing to be far bigger than the actual risk. Yes, you could get eaten by a tiger on the way to the shops, but how likely is it that a tiger has escaped from the zoo and is hanging around near the local Tesco?
I think this is one of the reasons why I'm frustrated by covid-world.