So the Iridium Corporation has some problems.
Looking at its iconic influence/wealth building, the Free Market, one would think that the Iridium corporation might want to win an influence victory.
Too bad it is blocked from many of the systems that increase influence. The Iridium can't upgrade their Free Markets and can't build consulates. As a result, their influence building is limited.
Furthermore, Iridium culture starbases can't build beyond the initial cultural forum starbase improvement. As a result, the Iridium are limited in their ability to project influence outward.
It's a problem.