Well, okay, but that might describe more general resources for doctors to use with their own patients, as opposed to the assembly-line method with nurses at a county vaccination center. I still don't think anyone would use 'Patient Education' as the title of a document, form, leaflet, etc., which is provided for the benefit and use of the patient, so it should be written from the patient's point of view. 'Information' is what a patient needs to know, right? (And anyway, with a vaccine, the person getting vaccinated isn't a patient, since he or she isn't sick; although in a doctor's office, it could refer to the patients of that practice.)
Perhaps you could even compare this to Impressum as the title of a section of a web page, which is the description from the point of view of the website owner or the law, as opposed to 'About us,' 'Information,' etc., which are from the point of view of the website user, what every visitor needs to know.