While I did not travel with children, I can share the experiences that my table mates had during the 8:30 seating. On the first night, DBF and I were left by ourselves before our server could even offer us dessert because the two families with us had to take their children back to their rooms because they were literally falling asleep at the table! The second night, one of the families didn't make it to dinner at all because their child was already asleep, the other family though, their children both made it through dinner and dessert. On the third night, both families, kids and all, made it through dinner and I did see them at the Pirate's night festivities. The final night, both families left before desert again because the kids were so tired.
Thats all I can share with you! Hope it helps!