This is only true for Children under 10. Children over 10 transmit contract and transmit at similar rates. Considering 11 is when puberty kicks in for many kids, this appears to support Fattahi's findings.
When you go to that link, near the bottom select graphs by age and see that Sweden ages 0-14 looks like all the other countries shown there. I think that is a pretty good indication. We have a country that kept their schools open and a number of countries that did not, and the results look the same.
EDIT: in fact, the excess mortality for that age group looks indistinguishable from other years.
(https://www.nytimes.com/2020/07/18/health/coronavirus-childr...)