So, here's the deal. MS lied.
There is absolutely NOTHING wrong with the Xbox power cords. MS just had the recall to cover their butts (they had to do something, but recaling every 1.0/1.1 console would be way too expensive).
The real problem is the Foxlink power supply. There have been numerous reports of "loose power connectors" in xboxes, and the cause of this is that the solder joints on the PSU have actually broken where the connector mounts to the board, which can result in the xbox not powering on, or possibly even sparks, smoke, and fire.