Beyond Earth processing times are generally a bit faster than unmodified Civ 5 turn processing times, but performance during processing is a lot worse on both of my systems. It seems to me that they've decided to sacrifice stutter-free processing for some extra speed.
Given that games in Beyond Earth generally end a lot quicker than in Civ 5, the average turn processing times are probably quite a bit shorter, because you just don't have that laggy endgame (Which I think is a negative overall, but good for processing times).