That is going to be interesting. I suspect it will be challenged. The Vaccine available under an emergency use authorization, so can't be required by employers for example. Not sure schools would be different.
Edit: Google providing a lot of what seems like misinformation about this, looking at other vaccines.
Employers can't require Covid-19 vaccination under an EUA - STAT (statnews.com)
This is not as cut and dry as you or Siri describe here. The author misinterpreted the comments of Dr. Cohn as being applicable to all private organizations, and left out the part about informing patients of the consequences of refusing the vaccine.
Here is the relevant text of the statute:
"With respect to the emergency use of an unapproved product, the Secretary, to the extent practicable . . . shall . . . establish such conditions on an authorization under this section as the Secretary finds necessary or appropriate to protect the public health, including . . . Appropriate conditions designed to ensure that individuals to whom the product is administered are informed . . . of the option to accept or refuse administration of the product,
of the consequences, if any, of refusing administration of the product, and of the alternatives to the product that are available and of their benefits and risks."
Clearly there can be consequences of refusal, and the Secretary has the ability to permit consequences he/she deems appropriate to protect the public health.
There are other considerations that may make a mandate illegal for private organizations, or schools, but the reliance on the EUA statute is misplaced.