[mothered]

The delivery photo provided also shows this was left with the resident at an open door

It could've been anyone's open door.

Did you tell them that the details In the photo do not correspond with your home?

and the GPS provided by the courier matches your address.

So what?

GPS/tracking showing your address Is one thing, whether the driver did In fact drop off your package at that exact point In time, Is quite another. I've witnessed many drivers arriving at a given location, stopping for 30 seconds or so just to update the tracking, and then driving off with the package In hand. The same thing could've happened with your situation.