"Aren't the contacts on the die that are attached to the chip package usually arranged around the the die's edges?"
Only for wirebonded packages. For flip chip, the pads are scattered across the face of the die. So in principle, the die or dies can have a larger footprint than the area of the pins. There are probably practical reasons why that might not be done, but that is a different issue.
And there might be two discontiguous dies in the package. It still doesn't make any difference for evaluation purposes.