Again, citing the UK here, if you go to your doctor and get a prescription, all you need to pick it up is your name + address (said verbally over the counter) - no ID needed. I do not have statistics for the false pickup rates but I very much doubt it is anything to worry about.
In the US lots of prescriptions work the same. But some prescriptions and some over the counter (OTC) medicine requires presenting a legal ID to purchase because of a variety of laws.
Blood pressure prescriptions, no ID lots of times. OTC meds which are ingredients to make meth, need an ID.
> all you need to pick it up is your name + address (said verbally over the counter) - no ID needed.
Does it include controlled substances? Sure, I can pick up ibuprofen 800mg with just my name and DOB said verbally, but whatever is on schedule II (US term, but think Adderall) I required to show my ID.
