Ah but some attackers are addicted. They can't stop. And it's not just a question of logging but the actual act of putting up a box to encourage and entice someone into breaking in. If I do that and I'm not a law enforcement type, is that entrapment? I may bait him/her with some juicy "credit card numbers". By putting that there I'm encouraging them to break the law.

(playing devil's advocate here -- I personally believe in the idea of a honeypot and think it's an important part of a full security system).