I suspect there will be a lot of pressure from parents to reinstitute in-person schooling so they have daycare.

I suspect we'll also see our first couple of disease clusters and super spreaders with associated deaths clearly attributable to a child in school. (I hope to god we'll have some compassion and keep the kids' names out of this, but I doubt it.)

Once that hits the news, I suspect lots of parents will refuse to put their kids in school.

In CA, for example, this may have devastating effects on the school district: they get money on an asses-in-seats basis [1]. I suspect that home schooling is about to have an enormous boom.

[1] https://www.voiceofsandiego.org/topics/education/how-do-you-...

Almost certainly. I think the vast majority of teachers, students and parents would rather go back to school with elaborate restrictions (like is happening now in parts of Europe) than stay home for another entire semester.

But high-risk students and households will need to be accommodated too, so a remote component could be necessary even if most kids are back in physical classrooms.

K12 is a lot easier because it's not residential.

I doubt that school will be back in session. Coronavirus infection in children and adolescents is generally mild, but that does not mean that they are not infectious and can't pass the disease to their parents. That will have impact, 20 % of adults will become severely ill with fever for weeks. It will hit hospitals and workplaces.