Vaccinations and better antibiotics reduced death rates a lot, but in 1950 accidents were still 30% of the death rate for children, killing 5 times as many children than die today for all causes.
The death rate for children aged 5-14 is is 14.7 per 100,000, i.e. 0.0147%. That's basically zero and five times that much is still basically zero. By comparison, the death rate for the 35-44 age group was 237.3 per 100,000.
Also, the most common type of accidental death is car accidents. So is even that difference from kids not getting to play outside anymore, or is it radial tires and crumple zones?