In theory, developing this a bit more would lead to searchable directories of files and an easy way to retrieve them, very similar to a torrent tracker.
That has significant benefit over shared files and I have to think would scare the heck out of dropbox because of the ire it might bring upon them. This would have to be a worst nightmare for them. Although removing deduplication would solve it for them (with significant increase in what has to be stored).
Dropbox has bandwidth limits on /Public URLs, particularly low for free accounts. This wholly circumvents that, and I suspect that's the real reason Arash asked for a takedown, not so much the loose association with piracy.