Expanse Baleen, Synced or Unsynced?

[LunaFaye]

you must be synced for it to drop. it's an item that goes into someone's inventory not a loot item. Same goes for Ravana EX and Sephirot EX. After that the crafting items were placed in the treasure chest.

Not fully true, it will drop even in an unsync'd party, but it's based on your relation with RNGesus that day. You can be lucky and it drops the first time you sync, undersync that trial, or you can be just unlucky and have to run it million times. Either way, I don't deny that maybe the chance is higher on sync'd content, but yet there's no evidence for that, at the end it's all about your luck and patience.