Ah, I didn't realize the binary was the main body here. That's what I get for skimming along! It shouldn't change anything at all, since as you said, the barycenter is really what matters once you get a good distance away.
I'm pretty sure that ED gets the 'double planet' thing wrong a lot of the time anyway - I really doubt that a brown dwarf and a large icy planet would be orbiting a barycentre outside the brown dwarf (the BD is 10-70 times more massive than Jupiter, and the icy body is only a few times the mass of the Earth at most). Really the icy body in the pair is just another moon of the BD.