I was shot down for the personal Visa and business visa, as I've already had both (and that was the reason given). I knew this day was coming sooner or later. The only card I have open with Citi is the AA M/C.
The rep. told me that it does not matter which Citi AA cards I previously had, as they are only permitting one prior AA card of any type. We know this is not entirely true, but I know that others have reported the same reason.