Dunno about Kuat or Corellia, if they had enough sway to keep their de facto autonomy or not. Star Wars Imperial Lieutenant Commander Star Wars Imperial Regiments Star Wars Imperial Lieutenant 2 Items BioThire (CC-4477) had been an Elite Clone Officer (later Veteran) who was initially under the position of Lieutenant and offered as the innovator of the Coruscant Escort Group, and ultimately grew to become one of Darth Sidious valued Imperial Shocktrooper Commandérs for the 501st. with sector capitals like Alderaan being blown up and the Senate gone, one could imagine the rest of the Alderaan sector or Chandrilla and many other systems, or ALL systems, being placed under such a system. Luke Skywalker pretends to be Imperial officer Lieutenant Jundland. So initially, pre-ANH backwater systems like Lothal and other problematic places with insurgencies or nowheres that the Imperial military could just bully ended up being like this. 2 BlasTech E-11 Blasters Lightsaber 2 Imperial Caps Star Wars: Empire 39 reprint.

So those odd rank insignias COULD indicate both military and 'civilian leadership' rank, like how in real life colonial territories we got things like 'Governor General' or whatever.

I think this ties into how pre-ANH - but especially in ANH moving forward with the dissolution of the Senate and the Moff being given control of the local systems (with the local governments screwed over, along with losing any say in the Imperial government with the Senate's dissolution) - you have systems like Lothal being placed under military rule.

Star wars imperial lieutenant