on my cruises, it is somewhat not organized at all. When you get there, they tell you where to sit. Then they call out the tours where you leave the theater. once you leave theater, you need to navigate the crowds (both the theater crowd and regular ship crowd) of getting off the ship. trying to get an elevator can be impossible. When you get off the ship, you still need to find the shore excursion people holding the sign for the excursions .
it is soooo much easier and better if the tour tickets say meet on the pier like what some tours and other cruise lines do. And thats what you eventfully do once you leave the theater. there is no reason to go the theater first from what i noticed over the years
my experience is just like what 9tee2Sea posted above