The sender has to have an address so he knows where to send the package. What Theymos's idear actually does is break the link between the bitcointalk account of the receiver and the physical address of the receiver that's being sent to the sender.
In my case, i'll receive an address from the winner, i know this address belongs to one of the thousands of accounts that are >= full member without negative trust from DT1, but i have no idear what the bitcointalk username of the winner is, so i cannot link him/her to any posts he/she made on bitcointalk.
I got what is Theymos's idea but sending a package with just an address and not a name when the package/gift you are receiving is expensive is risky. I wouldn't take a chance of not sending my name and just an address as if it's not sent because it has no name, I would need to submit ID and all to prove that package belongs to me. I don't know how it works in other countries but here in India, they check the name and then the address when it's at the post office/courier.