Tool and A Perfect Circle just cover songs the way they are meant to be covered: Holding onto the basic original elements, yet adding a certain personal flair that makes it theirs.
It doesn't just mimic the original, nor does it butcher it.
It's juuust right.
This is one of the best covers ever, totally destroys the original. Love how they put their own stamp on it and that it sounds nothing like the original. That's the mark of a truly great cover song. Sounds like it could be their own song, straight off of Ænima.