You seem to think I'm describing some special courier service. I'm not. I'm describing the standard USPS/UPS/FedEx experience all packages get, which is indeed how most of the stuff a retail pharmacy gets will be shipped.
The parent's concern with direct-to-home delivery is valid - the inside of an in-sun mailbox on a 90 degree day is going to well exceed safe thresholds for many medications in a way the rest of the shipping chain won't.