No Bodies by Drowning is not the same. I know the Smashing Pumpkins version as well. I have the Mellon Collie The Infinite Sadness CD.
Here is the lyrics to the Drowning Pool version:
Lyrics for: Bodies
Let the bodies hit the floor
Let the bodies hit the floor
Let the bodies hit the floor
Let the bodies hit the floor
Beaten why for
Can't take much more
One - Nothing wrong with me
Two - Nothing wrong with me
Three - Nothing wrong with me
Four - Nothing wrong with me
One - Something's got to give
Two - Something's got to give
Three - Something's got to give
Now
Let the bodies hit the floor
Push me again
This is the end
Skin against skin blood and bone
You're all by yourself but you're not alone
You wanted in now you're here
Driven by hate consumed by fear
Let the bodies hit the floor