Why does it matter?
There is no realm that Shinnen is closer to than Giask. That would be the only reason one would be able to claim it was a strategic secession—particularly when Luria Nova isn't at war with anyone.
Not yet it isn't. It just feels like one of the reasons for a Lurian Empire is higher efficiency, among others by having three capitals, instead of one. Isn't creating a tight confederation like that circumventing the "recruit in i the capital only" mechanic? Certainly if one person would become Emperor, ruling all confederate states.