I don't claim to be an imaging expert, but a few odd details about the experimental method jumped out at me. It's been known for some time now that diffusive and other scene-perturbing objects (e.g. grossly distorting 'lenses' such as a Coke bottle) can be nullified using a structured light technique to characterize and effectively 'undo' the perturber. A simple structured light example is to replace the light source with a DLP projector and take multiple images with only one pixel illuminated at a time. More clever implementations can replace the single pixels with speckle patterns, zebra stripes, etc., and replace the 2D imager with a single-pixel photocell. Other neat tricks can then be performed such as reconstructing the image from the POV of the light source rather than the imaging device.
The experimentals shown in this paper all seem to have two things in common: 1) the "object" in each case is a backlit, 2D binary pattern on a transparency film or similar, with a relatively small illuminated area, and 2) an extremely narrowband (laser, actually) light source is used. The paper does mention several times that the light source is non-coherent, but it is a laser under the hood. This explains the numerous references to "speckle" in the images, which may leave most readers scratching their heads since things don't normally speckle when looked at through a slice of onion under ordinary light. Speckling is a laser (de)coherence phenomenon where the rays are put slightly out of coherence so as to interfere constructively and destructively.
These things suggest to me that while the paper is definitely interesting, there is no need to worry about the neighbors snapping passable nudes through your shower door or Feds cataloging your grow farm via pictures of a blank wall through your window. This sounds more like a modest extension to what's already been done stirring coherent and structured-light in a pot with convolution and autocorrellation methods.
Since the coherence length of cheap semiconductor lasers (e.g. laser pointers) can be on the order of 1mm or less, it's possible to call even a straight-up laserbeam "non-coherent narrowband light" with a somewhat straight face. Likewise, the quasi-point-sources created using a sparse geometric 2D aperture in transparency film, backlight by the aforementioned source, is pretty close to structured light for practical purposes. The takeaway message is these are very special lighting and "scene" conditions that are not representative of everyday photographic circumstances. So not to worry just yet :-)