[mothered]

Something that I'd be interested to see the result of, is if OP gives a signature, clearly spelt out- but changing the spelling of the name slightly. For example, "Catherine" to "Katherine". Then asking the courier for a photo of the signature given, and explaining to the rep that you think someone has tried to fraudulently sign for your package, but accidentally spelt your name wrong.

It's a very good thought, however that "someone" who signed, Is (predominantly) Intended to be anyone unbeknownst to the social engineer (a passerby or otherwise), hence wouldn't know the SE'er by name.

The only way It will work, Is If the driver signed who'll obviously have the consignee's details on the manifest, or perhaps a close neighbor. But that directly puts the driver and/or neighbor at fault, which Is not good practice.