No, not in the game, they take the same.
Either way, Visions of Khas, I lost my SC manual, but I thought something was kept in the Cybernetic core... Was it the warrior's body, or their mind? Not sure
Anyway, it makes sense that the StarGate is way larger than the Gateway. If we consider that something as huge as the carrier (as it seems to be there) is warped from Aiur, and it is warped inside the building, then it oughta be huge.