Yes, but monitor resolution also plays a part: At lower resolutions the CPU tends to be the limiting factor (for such a potent card), at 1920x1080 or above, the CPU limitation is less obvious but adding AA will have less impact, because the card has so much muscle to drive the higher AA settings.
I would say that if you have a 1920x1080 (or 1920x1200) monitor the HD5870 would be a better choice, though.