A quick heads-up for anyone reading this: the TOR network is NOT meant for bittorrent filesharing. If you try to use bittorrent over TOR, not only will you be unable to do so, but you will also slow the entire network down for everybody, hence the part of the article that reads:
While the site is available on Tor, torrent downloads still go through the regular internet. This means downloading from KickAssTorrents, is not anonymous, for that e.g. a VPN is still required.
In other words, KAT can't allow downloading over TOR, because it's technologically impossible. That, essentially, is where VPNs have the advantage.
So, the moral of this comment is: don't try to use bittorrent over TOR. Just don't. This probably goes for other peer-to-peer networks as well. If BitTorrent doesn't work, I doubt Gnutella, eDonkey, or whatever will.