Ampiros makes me think of an empire setting out to march and destroy their enemies.
I agree. It is very similar-sounding to "Imperial" or "Imperious" or some other "Empire"-related words. I like it as a name, but I don't get any feel of what the name means, unless I already know what the game is.
The Exusya and Exousion feel extremely awkward and vaguely unpronounceable.
Primogens... sounds very video-gamey, or like the name of a heavy metal band. But the only feel I get from it is "We can't think of anything that describes our game, so we're just going to pick something that we think sounds cool and heavy metal style." Not a name I would pick.