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?

I have a relative (not a teacher) who can no longer have vaccines due to Guillain-Barré and another friend's relative currently intubated in the hospital with a single J&J shot (no booster unfortunately.)

Kids while not very vulnerable seem to be a carrier into the home.

I don't believe mandated student vaccines is enough for these people (or for the parents of vulnerable students). Instead, we have to do the hard work of allowing appropriate accommodations for high risk individuals. Unfortunately, vaccine or not, much of the responsibility for derisking will inevitably fall to vulnerable individuals themselves, ideally with as much societal support and backing as possible (e.g., plexiglass enclosures for vulnerable employees? I'm not the expert here).

Nothing else we've done so far seems to move the needle much. The stakes aren't personally high enough for everyone else in society to maintain the necessary vigilance for years on end.

I'm only asking for models here. Is the CA legislation based on scientific models showing that mandating COVID-19 vaccinations for all school-aged children will meaningfully impact health outcomes at the society level? Or is it motivated by a desire to overcome COVID by all means necessary, even ineffective ones?

I would imagine it’s pretty damn low. I have two kids in daycare, and except for a few weeks early on in the pandemic, their daycare has been open the whole time. Before even, y’know, the vaccine. I dare say daycare workers who change diapers, play closely with toddlers, wipe away bodily fluids, etc. come in far closer contact with children than the average K-12 teacher. And in the whole time we’ve had two of the daycare teachers come down with Covid, based on contract tracing from family members. I think teachers are seriously milking this whole situation to stay home.

Does it? Isn't it well established now that getting the vaccine does not protect infection, only the severity of the disease. If teachers want to protect themselves, then they should get the vaccine.

I personally know a J&J vaccine recipient (but no booster) who is currently intubated. I know someone else who had Guillain-Barré from Covid (who had been vaccinated) and can no longer get vaccines.

These aren't hypotheticals...