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since it flows directly from royal decree giving him the position and authority he holdsDo you have a source for the decree? (EDIT: Nvm, Salman delegated various affairs to MBS [1], as well as made him PM [2]. Salman remains the head of state.)
I'd still argue that MBS is not formally in charge. The President can delegate their authority to a rando, that doesn't make it lower-case constitutional, e.g. Edith Wilson [3]. (Granted, that was done without formal decree.)
Going back to the Greek analog, tyrants would usually gain some instrument from the formal leader technically legitimising their actions. But the formal leader wasn't the one deciding. The tyrant was.
[1] https://www.reuters.com/article/idUSKBN1DA23M/
[2] https://amwaj.media/media-monitor/saudi-power-transition-con...
[3] https://en.wikipedia.org/wiki/Edith_Wilson#Increased_role_af...