I ran into the same problem as some of you. I recieved a Charter Cardmember embossing instead of DVC Member.
I thought it to be no big deal, but I called anyway to get it changed. What a hassle. Everyone I spoke to said you must re-apply. It is not in ones best interest to re-apply since any application for a credit card hurts ones credit (even if you cancel the other card).
I was transferred numerous times and was given several numbers to call. The best I could find out was that the cards are the same, however, they will occasionally market different offers to DVC members. Essentially, they have a separate department that handles marketing and offers for each group.
I insisted that I would not re-apply for a new card. They offered to change the embossing to DVC member, but I would still be handled by the marketing department for Charter Cardmembers.
The person I spoke to said they would call back if they get any additional info. If anyone with a similar problem gets it resolved, please post it here for us to use as a guide.