I think the only thing to address here is the claim that “we are in this for the children.”
Yes, it is an emotional appeal, but the fallaciousness of the appeal would depend on its context. For example:
We are in this for the children; therefore, we should hold classes in person.
It seems to me as if being "in this for the children" could be applied to any related argument here:
We are in this for the children; therefore, we should hold classes online.
An argument needs to be connecting the well-being of the children to the policy. There would be nothing fallacious about this. Schools really are "in it for the children." The emotional appeal by itself is fallacious, but when linked to reason, works just fine.
We are in this for the children (i.e., we want to do what is best for the children).
Research show that (insert policy here) is best for the children.
Therefore, we should do (insert policy here).
This isn't perfect, but it is the start of a decent argument.