It matters a lot for his character. True, he's young enough that some immaturity would be excusable -- except that this is his opening act in the story. It really matters what he does first because it really defines the character.
Not the one where he loses a toy in the cage and gets the key to get it back. I was planning on having it happen during the hunt, but then was wrestling with how he got captured.
Hmm. . . perhaps if I up the magic influence from the forest, the prince can find himself alone beside the cage despite the number of people in the hunting party. It is, after all, a magical forest.