More holistically, I feel like Vader doesn't have a spot on the org chart besides "he's Darth fucking Vader." Man owns a super star destroyer & can and will choke you do death with his mind over anything from a sloppy formation to giving him sass. He is absolutely the boss of you in any circumstance
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Like, if I'm the captain of a star destroyer with Darth Vader on it, and Vader tells me what to do with my star destroyer, and I point to an org chart, is Vader gonna go "oh shit *shhhh-hooo* my B" or is he gonna kill me with his mind & tell my XO what to do with MY star destroyer?