Or can they?
If the detector elements were part of a quantum computer (or a quantum computing "chip", whatever that will turn out to be) they would be able to analyze all the photon paths (Feynman paths) bouncing back from the subject, even those that would decohere / collapse away in a traditional detector.
IANAP, but wouldn't a quantum chip be able to perform some amount of NLOS by analyzing the paths of even a single photon?
How about "averaging" several attempts to compose a single shot? Would it be possible to shine lasers of multiple wavelengths to achieve better results? maybe varying angles as-well?
High end mobile phone cameras take hundreds of shots over a second or more to reduce noise, and rely on the fact they can estimate movement of things in the frame with optical flow and a gyroscope.
In NLOS (and traditional photography) the scene to be imaged is illuminated with N photons but the detector only receives M photons worth of signal back, where M<<N. So future people are going to need:
1) helmet-mounted lasers capable of sustained very high power output, to increase the signal enough to get over the quantum detection threshold
2) to slow their roll, so a lot of imaging can occur before they round the corner
or both. There are already practical limitations on laser power output in air because the air will turn into plasma along the beam path. Similarly, for NLOS you need to not burn up and destroy the surface that you're using to bounce the light around the corner.