I think there’s a different (and to me more interesting) potential, which is to expose the layering to allow creative effects in post. For example you could realistically stick fog into any picture (or remove some amount of fog/haze from pictures that had it to begin with), turn the background monochromatic, add motion blur selectively at particular depths, create focus blur with any bokeh you want, take multiple pictures with the same person in different places and composite them together, etc. etc.

With careful and laborious use of Photoshop it’s possible to do most anything today, but with a light-field image there are a lot of creative controls that could be made easier, faster, and more reliable. (Of course, doing this properly would take hiring some signal processing gurus, color scientists, professional photo retouchers, and interface designers, and spending years on semi-open-ended research.)