Two days ago I unpledged from Arissa, because I never did any powerplay and was tired of getting attacked for no reason in half the inhabited space, in which I was "hostile".
I think it just doesn't make sense to have two political layers in one system, the faction and the powers. A system can be Federal but under the influence of an Empire power, what does that even mean. I was rather enthusiastic at first, but now I think the whole PP thing was just a really bad idea, one no one wanted on top of that. The whole system is ultra complicated, but just not interesting since as a single player whatever you do you won't have any influence , and the whole thing doesn't seem to work anyway. I hope FD just leave PP as it is now for those who enjoy it, and focus their efforts on things that matter.
Like you I don't partake in PP, but if you think of this game as 14th-18th century naval ships and colonial powers in space, then a great deal begins to make more sense. Not necessarily agreement in your eyes - not saying that - but just make logical sense.
Take your system is Federal but under influence of Empire. The analogy would be a Spanish colony in the New World that is a spanish colony. It is spanish aka Federal. But along comes a fleet of English frigates and they proclaim all of the coast along which that colony and several others are in as British controlled. These are still spanish colonists in spanish colonies. Nothing some English Admiral just said changes that.
But just as it was back in the 14th-18th century, whoever projects their naval power in the areas is the de facto controllers / influence owners. Those British ships sail into that colony and demand sugar, water, and rum supplies - now that spanish colony is under their influence aka threat of death, and has to comply.
that to me is what a system tagged as Federal/Empire but under the influence of other side means.
I do agree though, but admittedly biased, that PP doesn't seem to hold much attraction for me and wish FD had spent their focus on other areas, namely improving core parts of game still waiting to be fixed or actual new content that enhances core game mechanics. But to be fair, PP is now just as much a part of the 'core' game now that is has been launched, so deserves being cleaned up and tuned as well.