Being in the (sort-of) marketing field, I don't see this as deceptive. Yes, the mailing did have the Continental logo everywhere, perhaps giving one impression that everything charged on the card will get miles. However, it being a co-branded card, the logo has be in prominent places in every piece of communication you received from them. For example, they answer youe call with "Continental Chase" when in reality it is Chase.

Second, it is not deceptive in the sense that it advertised exactly what this mailing is suppose to do: get you to transfer your balance to the Continental credit card offfered by Chase. No where in that mailing, except the logo, gives the reader any impression that transfer would earn mile. Since it did not advertise something that it was not offering, I would not qualifying it as deceiving the reader.

Finally, as part of the user agreement (somewhere in there), which all users should read but in reality most don't, already states that balance transfer, except for special promotions, do not earn miles. This mailing you received does not mention anywhere this is one of those promotions.