Robert Hess said tells Danya that no increment influences why Robert prefers white to black in Armageddon chess960. Of course it really depends on the bid, but I guess Robert would want a lower bid for black compared to an analogous case where Armageddon would have increment.
Have there been Armageddon games (in chess, chess960, shogi, xiangqi, go/baduk, etc) with increment? So far I've seen in chess960 they're all without increment.