While they might state that the minimum income level is 15,000$ and the lowest credit limit 2,000$ I doubt that's Citibank's actual policy for a card that comes with a $400 yearly fee (even if it is often waived). For instance, American Express states in their Platinum Card's T&C "The minimum yearly income required to qualify for the "Card" is $100,000. If you are an existing American Express Cardmember there is no minimum income requirement to qualify for the "Card"." However, one would doubt that simply having something like, say, an AMX Blue for Students card that is not in default would actually qualify you for that card.

What I'm saying is that the Chairman's Card might still be considered exclusive (if only slightly so) due to the $400 yearly fee.