I think it's a rare example where the covering arist really did make the song his own. I remember when I first heard the Cash version, it took me a while to work out where I knew it from! I think the Cash version has been used a lot in various TV shows so is probably more famous and I guess has made Mr Reznor more money than his own version
n.p. Suicidal Tendencies - Clap Like Ozzy
got it as a download for pre-ordering the new CD, this song is really good, so hopefuly the album will be.