I would suggest doing some measurements while you have the ring and weight in place and go to your local TAP Plastic and have them make you a custom fit cover. It will also most likely cost less as well.
I can tell you it does. I have a Superscoutmaster with periphery ring and center weight. If in doubt about any Gingko product, contact Vin himself at the company. Ive never met a nicer more helpful person. Also, put his platform under your VPI for even better sound