I did notice in Google Webmaster Tools that they are providing 3 of my top 10 backlinks at the moment. Although they are providing almost zippo traffic, they are influencing my Google ranking -- might as well use them for what I can get.
Meanwhile, the farce continues -- I can't request submission to DODDSWorld because the Overseas Brats On-Line Community is already submitted when in actuality it has been "expired" and is no longer listed in my active & pending ring memberships. DODDSWorld does in fact show 1 pending membership, so it would appear WebRing has a bit of a database integrity issue.