For the parks down the road, if policies are similar, not letting someone in with a temperature only does so much good if the person turned away then gets back on Disney transportation to return to a Disney resort.
Also, while it is a bit nuanced (and not meant to pick on you), I see HIPAA mentioned a lot. HIPAA does not apply to everyone - it only applies to "covered" entities. So if a security Cast Member takes someone's temperature, or even administers a rapid test, HIPAA might not even apply, since they probably would not be considered the right type of medical provider.
https://www.hhs.gov/hipaa/for-professionals/covered-entities/index.html. I spent a lot of time on those FAQs in my previous job since we were always fighting with doctors' offices over illegal charges for providing patients' records (really not supposed to charge much $ at all to someone to provide them their records).