'The plaintiffs alleged that the vaccines do not prevent someone from becoming infected with COVID-19 and characterized it as a treatment rather than a “traditional vaccine.”'
https://calmatters.org/education/2024/06/covid-vaccine-manda...
The reason the case was dismissed was because the requirement was removed.
The case was reopened on appeal due to the rules being temporarily re-established.
Anything else is nonsense. This is spelled out in the article but wrapped with a bunch of whatifs and maybes and possiblies.
If your hypothesis was correct, then NOTHING is a vaccine.