I personally would like to see PIRACY, not Pirate faction. Unless there's like a Pirate's very own labor union, a consolidated reputation and all that should be thrown out the window. As far as I'm concerned, they are disorganized and independently run. Same goes for independent faction.
The game is already capable of generating random names and flags. I think it would be better if there were 3 categories:
1. Major powers - Lawful
2. Minor powers - Lawfully chaotic
3. Rogue powers - Chaotic
Major powers should be the established factions in the core. Minor powers should be those that are currently considered independent now, but they should be randomly generated factions considered as minor powers. The game is already capable of randomly generating names and using available flags, so I don't see how this would be difficult to pull off. Rogue powers shouldn't be represented at all as factions, but as a sort of meter of strength - and these would mainly be the pirates and the pathers.
Player's faction should start out as a minor power, but with expansion and growth of size, should be recognized as a major power down the line. And in all honesty, that should be the moment when the major powers frequent expeditions and such. As a trade off for the late expedition attempts, they should be more powerful in scale than how it is now.