Nothing I'm aware of, though Shantotto and Lightning have actually visited Eorzea so two of the cards at least kinda make sense. Perhaps the rest have and we just never got a quest for it?

I like to think that Godbert was summoned to referee in the next Dissidia though, because lets face it he outranks both Cosmos and Chaos, and he had the Platinum Cards made in honor of team Cosmos, would explain why they use Dissidia artwork too. Wonder if we'll get team Chaos cards as well...

Kind of really want a Mail Mog style quest going into the origins of Triple Triad in Eorzea now... Do we even know who invented it in Eorzea?