It depends. They may route the power differently through the plugs with a different cable.
IE.
On your PSU it may have say 4 pins that are 1,2 ground, 3,4 12v
On another PSU's cables, it may still have 4 pins but be 1,3 ground 2,4 12v
On yet another PSU's cables, it may be 1,4 ground, 2,3 12v.