When we were at Raglan Road in January,we used the rewards card to pay for our meal.
The server said because they are a third party restaurant, it just takes a bit longer to run the rewards card.
No problem for us as we were enjoying the entertainment!
We also used the card at Earl of Sandwhich and several of the gift shops.
Just a side note, because we've always used the card at DTD Orlando, we were very surprised when we went to DTD Anaheim and none of the restaurants including Earl of Sandwhich accept the Rewards card. The only one who took our card was World of Disney and the Pin Trading store.