Point of Interest, the Chocobo area is a separate instance, and you can get stuck in there without any teleport options set. However there is no way to teleport directly into the Chocobo racing area.
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Well rather than kicking you from the game, why not just out of the zone. For it to make sense, you could be given a cutscene after being afk for 15 minutes. Your character will be approached by NPC's who inform you they do not allow loiterers in their casino and then request you to leave.
This way, you're still logged in the game (thus not losing your DF time), but no longer in the Gold Saucer (you'll wind up in your starting city airship area).
Gold Saucer is the new Revenant's Toll. Though if the Scions moved their HQ there, it would entirely defeat the purpose of the move to the Rising Stones to begin with since the Gold Saucer is in Ul'dah territory.
Hmmm. How about being kicked out of Gold Saucer for not participating in GATE's, Triple Triad, or Chocobo races? 30 minutes of 'inactivity' should be enough time, right?