As you say, this isn't a health issue, this is a human rights issue. Bodily autonomy is arguable the most natural, intrinsic right we have. Government is intended to protect the rights we have and keep people from harming those of others, not to "protect us from ourselves," even if we were to accept the hypothesis that that's what these shots accomplish.
RE: Florida Considering Mandatory HPV Shots For All Public School Students Ages 11-12