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That would violate his users' privacy; maybe I don't want you (or the rest of the world) to know that I have a Gox account.
You don't need accounts or registration, you just need a two-step process:
1) User tells you their refund address
2) You give the user a unique deposit address, and link the refund and deposit addresses in your database.
To avoid creating a gazillion deposit addresses or bothering the user to give you a refund address every time, you might want to store the "user already got a deposit address" flag in a session cookie. But if the user will remember the deposit address then even that isn't necessary.