What you don't understand is that the refusal of the call to adventure has not been theorized by Campbell only because every good story has it, it's because that refusal serves a purpose in the story. It prepares the switch of the character's status from a passive, to a active agent in the story.
In other words, wanting to join the crew because of baseless reasons is WEAK in term of storytelling. It tells nothing, it's only places the character of Yamato has a vessel for a non personnal desire.Yamato still be passive.
On the other hand, if Yamato refuses to join Momo at first, this would create a personnal conflict in Yamato's development. It would create the ground for a switch.. from Yamato being passive, wanting to join the crew for baseless reasons, to actually taking their future and responsibilities into their own hand, taking what they thinks freedom is, and transforming it, to become their own reality by becoming something they truly wants to become: Accepted and free.
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Indeed. It would be the same for Carrot.