The issue with children has always been they're mostly asymptomatic. So it's impossible to analyse their impact on spread.
Also, If exposure to coronaviruses gives some short term protection, both children and the adults that care for them are likely to have also had exposure to those viruses, and gained some sort of short term protection, again making transmission impossible to track.
However, of those locally to me who I know have had it, it was whole families who were infected. In one, the eldest boy (7) had a fever for 10 days. The baby (1.5) had nothing. The preschooler (4) had a brief illness. Both parents, both asthmatic had a brief illness. Others I know with asthma are still struggling 3 mo later. Another young woman in her 30s has had a lot of organ damage. A paramedic had it with no knowledge. Blanket assumptions cannot be made regarding impact on schools and the families and teachers connected to them.
Schools and transmissions are an issue not least that you may have a tracing parent in one, an lea away from their own children who are in two more settings.