No, because cash-back deals are personalized, you and any authorized users will have separate cash-back deals. They're created based on a person's card usage and active participation.
Individual cash-back deals are unified across all of a person's eligible cards and accounts. As an eligible U.S. Bank cardholder, all card users on your account are automatically enrolled in the cash-back deals program. However, cash back is only earned on the deals that are activated and completed.