After finding his uncle ill, Amiti finds himself stressing over 1) the possibility of losing a family member, and 2) having to reign.
Eoleo can be empathetic for the first one... and actually knows much more about the second point than people expect, being a prince himself, pirate country or no.
Bonding over the weight of royalty?
I'm aiming for shippy, but it doesn't have to snowball into smut