...and here's what I found:
The driver didn't even come to the door. My wife heard him backing into the driveway and she went out the front door, but he put the box down and drove off. There was no damage notice on the box. It was packaged and shipped at Staples, in a Staples box, with tape labeled "Staples". Someone added clear tape at some point later.
I am fairly certain of a few things:
1) Staples would not have released the box in that condition.
2) UPS would not have taken the box from Staples in that condition.
3) I will never ship anything by UPS again.

