[Borg King]

What does Kruge's special skill (Worth 15 points while The Genesis Device on his ship) mean by "his ship"?

Does that mean the ship he is the matching commander for? OR Does that mean whatever ship he happens to be on (that you control)?

[SudenKapala]

The latter. (I'm not certain that you have to control it; but at least it's not the former.)