IME and from posts here, it is kind of all over the map. The official version is (I think) that you shouldn't even qualify for the card, and I've known a guy or two who was outright turned down for having had a Citicard he canceled a few years ago. Others here have applied for more than one of the recent offer (whether they had historically had Citicards varies I think) and gotten approval/miles for both. It's a bit haphazard, it appears, in practice.