I'd like to add something, about ZOI in general. They are where your faction has effect, aka for a LSF that is where they can enforce laws primarily.
Next, I have seen repeatedly asking why Liberty would be interested in Corsairs. Haven't you played the campaign single player? Ok, maybe you played it a long time ago, but not recently. Well since that point in the timeline, one of the most pressing issues for the LSF has been acquiring and the research of Artifacts. Corsairs trade are Artifacts. And this the LSF knew, and still continues to know.
So easy to spin ball from there what operations the LSF can be seen doing in the Omicrons, other then searching for nomads.
Prehaps I have brung some enlightenment, especial with my second paragragh.