That is a bank policy.
Look at Capital One, or some of the larger co-branded vendors Citi, BoA, etc. You have a bank card with them directly and get solicited by your school, organization, museum, etc. for a (Visa, MC) with their logo - issued by the same bank. IMHO, it could be possible to have several different cards by the same lender.
_________________________
Integrity. With it, nothing else matters. Without it, nothing else matters.