Not necessarily. Many people may generally not want the government mandating or forbidding any kind of procedures, yet still find a compelling argument in public health with a vaccine. That argument doesn’t exist with something like abortion, euthanasia, psychedelics, or even something as benign as wisdom teeth removal.
The argument used to be quite frequent that sterilizing prostitutes, “mental defectives”, and criminals was in fact a public health and safety measure, as was aborting the unborn of said individuals against their will - that is the reasoning the US and many European countries used to engage in mandatory sterilization for decades in the twentieth century.
Look up the quote “Three Generations of Imbeciles is enough”, if you want to see where public health over individual autonomy lands us.
> My right to make these personal decisions regarding my bodily autonomy
and also something that is typically condemned by the anti-vax crowd. The comment implies hypocrisy.