If the user's email is compromised, the Dropbox confirmation email would be easy to locate and harvest, either from their mailbox, or their mail hosting provider's delivery logs.
(Usually, however, malware simply scans for all incoming email addresses, and then reports them to a central authority for later spamming.)
EDIT: As pointed out elsewhere in this thread, the email address <dropbox@yourdomain> is trivially guessable by dictionary spam attacks.
There are many routes to this information leaking. It is not at all apparent whether it's Dropbox yet.
Given that Dropbox security is actively responding in the linked forum, it seems as though this HN post - submitted by one of the users posting in that thread as "affected" - is solely to create "buzz", rather than to share news with Hacker News.