I do believe Core Complexion skins are now represented by the Sebiestor tribe (Sebiestor tribe owns CC?) and Boundless Creation by the Brutor tribe. I don't think this is a design oversight like Ardishapur logos being on the Viziam ships (though according to the CCP Art Panel, Ardishapur colours = Viziam colours).
If I'm not mistaken, the V3 corp skins for Minmatar are the seven tribes, Fleet and Justice Department. I think CaldariPrimePonyClub did an accurate imagining of each on a Hurricane (don't have link).
Perhaps it represents that corporations in the Republic aren't as powerful as they are elsewhere, and that the tribes are predominant. I think each faction has 13 skins.
Gallente = Civilian, Roden, Duvolle, CreoDron, Federal, Navy, Police, Aliastra, InterBus, Inner Zone, Quafe, Serpentis, Syndicate
Caldari = Civilian, State, Navy, Ishukone, Hyasyoda, Wiyrkomi, Lai Dai, Kaalakiota, NOH, CBD, SuVee, Guristas, Mordu's
Amarr = Civilian, Ammatar, Navy, Imperial, Court Chamberlain, Equilibrium of Mankind, Blood Raiders, Kador, Khanid, Kor-Azor, Tash-Murkon, Sarum, Ardishapur.
Minmatar = Civilian, Brutor, Sebiestor, Vherokior, Krusual, Nefantar, Starkmanir, Thukker, Fleet, Tribal?, Justice Department, ???, ???
Wonder what the remaining two Minnie are.