As far as influence goes, that is precisely the purpose of outposts. To exert influence. It is a fortification supporting a garrison, whose purpose it is to exert upon the lands within reach, the influence of the building nation. In FE: one outpost on the edge of a nations borders should help protect ownership of a tile that has been historically owned. In war, outposts should be able to exert some thieving influence. They do afterall represent a place from which troops can strike out to claim mines and farms and whatnot. But in peace, it should be difficult for an outpost to claim ownership of previously owned tiles. Particularly those belonging to large cities. Then it becomes a culture war of which side is most appealing, to those who reside on the outskirts of influence.
Any Outpost in Fallen Enchantress falls to any enemy unit without a battle (unless you had an army there that you had sent previously). So I would not consider these outposts as "military type". They are just "starbases" (a la GalCiv). Oh, and as such, I hope that Stardock actually goes with the concept and allows Outposts to be upgraded of different ways: more influence, more military strength (so if it's attacked, it actually can kick some ass... or at least try) and stuff like that.