SotS has 3 expansions actually, or 2.5 if you don't count Argos as a full one since it didn't introduce a new race.
But yes, the game play is dramatically improved over the initial game.
My comments on the GC AI have more to do with the decision to go with an open space design, which the AI simply could not handle. Brad even told me why back in the old forums, the AI didn't look at everything in it's scanner range. Meh, if you developed faster fleets, you could run rings around the AI, getting it to chase dummy fleets (which you let it catch) and then smacking it's planets with your real fleet which it never saw. As far as I know this flaw was never rectified, but it drove me nuts.
Also you could ignore any military ship production until after your enemy got troop transports, meaning you could almost always develop a much better economy/tech base, and then when someone did decide to take a shot at you, mobilization was pretty easy, and your ships were almost always superior to whatever the enemy could throw at you.
I dunno, I enjoyed G2 for a while, but as someone mentioned, once you got the hang of it, the flaws in design really crippled the AI as far as I was concerned, and the game became a lot less interesting, because you'd already pretty much seen everything, to beating on Masochistic (or whatever the highest diff was) became an exercise in tedium. I suppose *all* games eventually get there? Well not for me, but GC2 definitely got there faster than I wanted it to.