So I called in again today using the C&A phone number instead of the Casino line I used before. I had used the Casino line before because this was a Casino Comp. cruise associated with the refunds. Today's call made me feel confident that they have identified and acknowledged that their system had issues related to the 11/18 date. The rep I spoke to today took the time to go through each order in question with me in detail and verified that each one was resubmitted for refund as of yesterday. She clearly had access to the transaction logs because she started cross referencing internal timestamps and unique identifiers for each logged activity. I left the call feeling confident I should get my refunds to my cards in the next week.
The rep stated that they had seen a lot of issues with refunds associated with 11/18 and apologized several times for their system issues. I told her I appreciated her help in looking into this with me at the level she did and did not give me the standard "30-day" answer. If you are concerned about your particular status, I would call in; but I do believe they acknowledged the problem system wide and fellow members of the dreaded "11/18" club should begin seeing refunds next week.
Edit: I received the following from Royal Caribbean via Facebook messenger after I called. Took them a while to respond to the initial message, but they clearly are working to right all the wrongs in their system.