As of May 24, 2012, some people have received their refund. Other people have received a letter asking for more paperwork to clarify what was purchased for the install.
In a telephone conversation with an administrator of the settlement, I found that the reason some people have not yet received a refund was because the sales receipt submitted for the claim had VW's actual part number (7P6-035-730-C) as the item sold, not the "9W7" code designation for the product. Apparently, the administrators were unaware that when purchased directly from a VW parts department, the actual part number (and not "9W7") would be showing on the invoice.
I suggested to the administrators that they may have other submissions which show a different VW part number (e.g., 5P0-035-730x), and not the "PR Ordering Code" (9W7). Those submissions would still be valid for a 9W7 installation.