Why reference federal mandates if your argument is bodily autonomy? That would equally apply to state and corporate mandates.

People have remedy of sorts in the case of a functioning local market. If some employer requires you to get vaccines and you aren't in to that, you can work somewhere else. If a state has requirements you don't like, you could potentially leave that state. Its different when its the federal government giving the mandate and it covers the entirety of your industry.