Yes, looks like there's an advantage (they argue only a small advantage) to the first mover: The defined subdistrict plan selected by the Democrats results in

Yes, looks like there's an advantage (they argue only a small advantage) to the first mover: The defined subdistrict plan selected by the Democrats results in three seats for Democrats and two seats for Republicans. [...] Similarly, if the Republicans move first, then in equilibrium the Republicans win three seats and the Democrats win two seats. Thus [...] under DCP there is only a one-seat difference depending on who draws the define-stage map.