It seems you're always stuck with f/2, so there's no way to adjust the depth of field. That not only simplifies the process, it also takes away an important choice.
Physically, you're stuck at f/2 in the sense that that is the actual f-stop of the lens. The information exists to let you choose the focus and the depth of field of the desired display image after capturing the light field. This simplifies the capturing process, but allows for more complex post processing that is not possible with a normal camera.
Since you can focus at arbitrary points in the photo after the fact it should not be a huge stretch to make software that allows you to change the depth of field. Macro photographers already deal with this by using focus stacking.
