Two Daedalus interpretations in an Expanse crossover

What if Daedalus appeared in The Expanse through an FTL accident?

Both interpretations favour Earth: Stargate's BC-304 through its American allegiance, and the Battlestar Galactica shipyard through its creators' belief in Earth.

Alex interprets Daedalus as Stargate's BC-304 and expects its American chain of command to draw it toward Earth. Its weapons, sensors and information would give Earth a substantial advantage over Mars. Another contributor initially means Battlestar Galactica's FTL-capable automated shipyard and also expects it to choose Earth, which its creators regard as the promised land. The two interpretations therefore reach the same allegiance despite involving very different capabilities. The initial BC-303 designation is corrected to BC-304.