For the 12/29 sailing I did have a show on the 2nd night. Here's what it looked like day by day for my rotation:
1st night - Cruise casual, Lumiere's, French dinner
2nd night - Cruise casual, Animator's Palate, Show dinner
3rd night - Formal, Parrot Cay, New Year's dinner
4th night - Cruise casual, Parrot Cay, Island dinner
5th night - Cruise casual or Pirate, Lumiere's, Pirates IN the Caribbean menu
6th night - Cruise casual, Animator's Palate, 'Til we meet again menu
Based on this, I would guess that for your sailing and depending upon assigned rotation, the show dinner will occur night 1, 3 or 5 (i.e. no show dinner on formal night if they offer a special menu like prince/princess) so you may be correct that you don't want a rotation where Animator's Palate is scheduled for night 5.
A couple of years ago, I wanted a rotation where Christmas dinner would occur at Lumiere's. I submitted the request to
DCL pre-cruise. The request was noted but not guaranteed however my request was fulfilled in the end. It might not hurt for you to make the request to ask for a rotation that will allow you to have your palo on night 5 but not miss the show dinner.