I like and am looking forward to more of Tyrians... Tyrian-ess. He is a very interesting concept.
I would like to see Aventus doing logistics wil lowercase L. Something like making sure that Tyrians forces while he pummels worlds into compliance are well very well supplied, for a better result. The economical games are... weird. Do not fit 40K or Space Marines. A nice idea that I am glad to have seen, but do not want to be a mainstay. Advising Tyrian on what not to destroy, pointing out critical enemy supply lines to target, etc.
More interaction between our main three Heroes. They should cooperate very closely, forming a whole that is more than sum of its parts and covers each stat.
2 actions per leader and 1 per hero is uncomfortably restricting. Maybe give each 2 actions and a roll bonus to the leaders instead? Or some actions only available to them? 3 actions for leaders was probably too much with 7 actions per turn, that was a good change.
Fluff skill training as characters teaching each other maybe? Or offer an action to do so (for double the normal training actions worth of progress or so + bonus if the teacher is very good).
Many things are unclear. There is not option offered for example for increasing our ship/soldier numbers, or if such is even possible/viable. And what skill would be needed, I can think of Logis and Diplo both working for this.
Slice of life snippets of Tyrian (and others?) interacting with his legion would probably be a good idea.
Tone down the torture please.