But Google is not trying to make people live healthier, it doesn't care about that. Google is trying to prevent hazardous working conditions for their employees. All vaccination mandates are about that: they don't care about the vaccinated or unvaccinated person, they care about the risk that person presents for its environment. In that sense the obesity analogy completely fails.
There are many ways you can use force and threats to make people live healthier, if you don’t consider them the owners of their bodies that is