I would like a little more coherency.
On day #1, Rao & Oleb hand the players the keys to a shiny warship -- and basically the only armed starship Drinax owns. They talk about going out and looting as the 'grand plan'; but both of them already know the grand plan (because they wrote it) is really to entice (or threaten) other systems into joining up to a Drinax-led 'New Kingdom'. Drinaxi Companion introduces rules for recruiting & developing assets, and courting factions, and the main campaign itself has rules for 'desired policy' for every system, and how these might interact with the stances of Oleb, Rao, and Harrick. None of this seems to be mentioned to the murderhobos players at all; but it ought to be made very clear that skulduggery to install (or create) Drinax-favoring factions in places of power is the goal.
Similarly, Oleb talks about looting & piracy (and even gives the players an entirely worthless 'Letter of Marque', which they can never show to anyone) -- but Drinax needs to not be seen to be involved in promoting piracy. The players need to be sneaky, and keep their pirate activities (and the illicit activities of the incredibly distinctive Harrier) concealed to avoid Drinax getting virus-bombed (again!); and Drinax can play the heroic white-knight, rescuing the Reach from the terror of piracy and lawlessness.
Piracy is essential, but the rules for it are very bad. For far less risk, and far less time spent, the players can make much more money with legitimate trade. So, first, the payout for piracy ought to be revised to ,ake piracy more viable. Also, the value of the effect of piracy on public thought throughout the Trojan Reach is never mentioned; but a rising tide of terror will open doors -- suddenly, systems which have been happily independant for centuries might look for an outside power to provide some protection.
Building bases is kind of a mess.
It would be nice to see a little development on the Floriani; they have a trade route to the Third Imperium. What does 'standing' with the Florians look like? What do they want, and what are they willing to give up, or fight over?
'Standing' with the Imperial Powers is one system. The Piracy Response Index is another. Infamy is another. 'Visibility' in Game of Sun & Shadows is another. The various 'desired policy' of various sytems is yet another. 'Port Attitude' is different from all of these. It seems like a random patchwork of 'Ooh, maybe this would be cool!'; can we please maybe integrate these into just one or two?