A lot of it depends on the context. When discussing Clan Ghost Bear, it should be in the Clan section. When discussing freeborn Rasalhagians, they belong in the Inner Sphere. However, referring to the Successor States can be confusing, since the politics have changed over time. Strictly speaking, I believe that if you want to call them Successor States, Periphery, and Clan, the Successor States should refer only to the big five, the Homeworld Clans should be in the Clan section, and everything else should get lumped into the Periphery. If you’re going to divide it by Inner Sphere, Periphery, and Clans, then the Rasalhague Dominion would be Inner Sphere, the ARDC would be Inner Sphere, but the Raven Alliance would not.