A bit off topic, but I'm also very curious about the apparent large differences in the depth of field of the two lenses. In both images, the 24-70 f4 seems to have much more DOF. Is this common between two lenses at the same focal length and aperture?
In part, it's due to the FoV seeming to be a bit less on the 70-200, but also very likely due to f/2.8 vs f/4. The larger the aperture (smaller f-number), generally the shallower DoF. Also influencing that is distance from lens to subject, distance between subject and background/foreground.
Apparently they were all shot at f4, though. I suspect much of the difference in DOF is due to a different vantage point relative to the fence, and due to focusing on the closer flowers with the 24-70 vs. focusing on the plant in the background with the 70-200.