To me, the answer is a clear Yes. Every vaccine on that list, to my knowledge, results in a much more complete immunity profile than the COVID-19 vaccine. The diseases on that list also impact children in rather devastating ways.
COVID-19 vaccines seem to be more similar to the seasonal flu/cold vaccines than to any of the vaccines on that list. Respiratory diseases circulate around schools every year, and we haven't mandated vaccines for those.
Do we have scientific models showing clear benefits for mandated COVID-19 vaccines for school-age children?