It doesn't need that at all. Light fields can be interpolated like anything else, just like bayer filter for color on camera sensors or 4:2:2 color compression on the signal side. But if you're doing 3-D rendering, you can match rays exactly to your distribution on the display if the renderer knows the distribution of rays on the display.
Interpolation is always going to reduce quality, but it's better than aliasing, so there's going to be a trade-off analysis that needs to be done. I don't know what the results of that would be, so this is all theoretical.