In Iceland, they did extensive testing, and genetic tracing of infections.
Children infecting other children was extremely rare. In almost all cases, it was adults infecting them.
There was only a single case of a child infecting an adult.
https://www.sciencemuseumgroup.org.uk/blog/hunting-down-covi...
Now that we have actual experience with the disease, hospitalization rates for children with covid is 5x lower than flu.
As pediatricians have noted, focusing only on covid risks leaves a whole host of other more serious risks with no management.