It doesn't matter what "kind" of card, as long as it has a different number it can be connected to a different FF program. Also Diner's club is accepted even though it isn't listed in their booklet or on the web that it is - but you can call and use it. Also there are a few restaurants that are in both the le card program (gives you 20%) off and the dining a la card (miles) program, and I have gotten both.
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DtG