Isn’t your vaccine status your private medical information?
Not necessarily.
Vaccination records have been required for children to attend public school for many decades.
HIPAA (not HIPPA) is to assure that your sensitive health records aren’t being disclosed without your knowledge. For instance, your employer or doctor cannot share your information with anyone not authorized to view your information.
Many jobs require you to get a physical or a drug test and that information is shared with your employer. Where’s the outrage there?