I submitted my Xbox serial number on the MS site, they said my xbox was "not effected", and I wouldn't need a replacement cord.
I, citing my blatant distrust for MS (My dad is a Novell system admin), pop open my system, and lo and behold, a Foxlink PSU on my 1.0. I pop that out, and sure enough, the solder joints are not only cracked, but also burnt. Looks like I caught it just in the nick of time. Thanks for nothing, M$!