It's the Fourth Fleet in reference to the previous incarnations, rather than referencing currently-active fleets. The First Fleet under Petrucci, the Second fleet under Labrie, the third under Spike, the fourth under Kane. Unless Kaz had something in the works I wasn't aware of.
My main plan personally regarding differences from Crayter stems from our, let's be direct, criminal past. Generally I want to play up the shadier aspects, black market business deals, that sort of thing. We've already had productive in-game talks along those lines, actually... though I hadn't actually planned either...