are so important as compared with Observational Studies...i.e. the inclusion of "Controls". Since it would be unethical to purposely expose children to a deadly pathogen to study the effects of masking, the independent and random decision by two Boston School Districts in the NEJM Study to maintain masking provided an accidental, but perfect opportunity to compare their outcomes with the data both prior to and after the cessation of mask mandates in the other Districts.
The studies you reference are purely Observational and loaded with what are called "Confounding" variables.
Look, I'm not trying to win arguments...I'm trying to help you...you know that from several other interactions we've had.