I think you are confusing the creditcard deal with bank card one.

OP is referring to the bank card deal from "upgrading" your ATM card to a mile-earning debit card after opening the checking account. Chase has been offering this to both CO & UA mile debit cards. For getting a credit card sign-up bonuses, you don't have to open any checking account with Chase.

Of course, if you pursue both upgraded debit card and credit card deals, you are entitled to both bonuses, since they are two different products.