Actually, I think that's what we should be trying. Now that we know we can flip the control of a system, we should try to take a previously uninhabitated system and get a faction to take control and build a station in it.
What is the general population size of fringe systems at the edge of inhabited space? I'm guessing it's pretty low.
Given that this is true, controlling the expansion into uninhabited systems might be easier than we might think.
See the "Dukes of Mikunn" for promising state changes done by a small number of players:
"Dukes of Mikunn Expansion: A CMDR found a tiny system with a very high controlling influence. Him and a friend were able to raise its influence to 100% to initiate a expansion state. After the Dukes of Mikunn reached 100% influence they expanded to a neighbor system and now have 9% influence there."
Source on Reddit
So it should be easy to expand from fringe systems with tiny populations.
What would be really interesting to try, would be to expand from a fringe system where neighbouring uninhabited systems are either rich on resources or have many easily habitable planets. Would the expanding faction be more likely to expand there given the rich oppotunity?
I'm willing to invest time in finding out.
Who's with me?