Also, focusing (manually or automatically) takes time. Even though it may be just a second, that's enough time to miss a good shot.
Returning to the focus, it's true that this has some potential to turn the photographer adage "f/8 and be there" into "f/2 and be there", letting you keep more of the light while the subject is still in focus. However, this is not automatic, since multi-view matching has to be done to superimpose the images of the subject captured from different points of the lens; and this will bring in the difficulties we have with stereo matching, such as occlusions (some parts of the subject can be seen from one point of the lens, but not from another), or ambiguities (it's hard for an algorithm to tell which points of the pictures correspond to the same point of the subject).