1) Sometimes they do hit the credit card, even if on DDP.
2) If so, you get a credit when you go to the meal.
3) If the credit card was hit, you can't get a refund until the meal.
NOTE: This is actually a frequent occurrence. I have had lots of people complain and demand a credit card refund. But, this has to be done at CRT, and others do not have the ability to reverse the charge.