Yeah, I'm going to get shot in the back, while falling 10 stories into water, land flat on my back, lie motionless for 45 seconds, then swim away underwater
I think I'm sticking with the theory they overlap for the following reasons:
1. She gives the same date in Supremacy and Ultimatum.
2. She says "thanks for the tape" in both scenes, which obviously is referring to the tape Bourne recorded of Abbott before he kills himself. They show a scene at the beginning of the movie of Landy and the others reviewing the tape. If the two films are in chronological order like you suggest, that wouldn't make sense.
3. Bourne is in the exact same building in both scenes.