BD, you have me laughing out loud here!
We looked through the menus and decided we'd try and skip the first Parrot Cay seating for Palo, and it worked out that we did get the day and time we wanted.
We did it early in the week and I'm glad we did, at that point we already missed dining with our "regulars" that night. Some of our tablemates had a Friday Palo seating and said although the food was excellent, they missed their regular dining companions and wished they had bailed on Palo and ate with us instead, and we missed them too! We lucked out and had wonderful tablemates and the most fun and attentive waitstaff.
The food in Palo is very, very good, don't get me wrong, but I think I could eat cardboard, if it was eaten in good company.
We agreed that if we had been assigned to a table full of grumpies then we would have wished we could dine in peace in Palo every night!
Check your ticket when you board so you'll see when your first Animator's Pallet seating is so you don't miss it when you go to make Palo reservations.