It is exactly the same song with some badly tweaked EQ and some minor percussion additions. Extremely lazy.
Now that remix.nin.com is defunct, it's hard to find much. But check these out:
Animalweapon remix
Way more talent than Bill fucking Laswell.
Now if you'll excuse me, I'll be raising Coil and TTA from the dead so we can have some decent remixes again for a change.