Not really a duplication from what I can tell. The Flash Player simply allows you to embed a Flash file within your page and play it progressively for the user. The Flash Media Server (and possibly Red5) is much more robust and allows Flash streaming. I'm looking into hosting my Flash files with another company that offers the Flash Media Server but was fishing to see if DH will offer something similar in the near future.
Hey, DH: am I correct that the Flash Player you offer is not the Media Server? And are you considering offering the server in the future?