I would have assumed Square had a method to spread out the tournament wins, either through rule changes, or not allowing people to get duplicates, but this is the team that baffingly thought the TT tournament structure they gave us was ready for consumer use, so I suppose I will agree with OP. It should be too early to determine how they will handle it, but I think expecting something lackluster, and only through fan feedback becoming good months later, is going to be the end result.

Although perhaps it is secretly brilliant. By making it so only cheaters get this card, if you're attempting to be a card completionist, you will need to network shady deals with other players, and suddenly the Triple Triad community is booming with communication between players, more than any other group in FFXIV. Truly visionary.