both images processed in darktable, first exported to jpg, the other exported to 16bit tif, imported to gnu imp, dithered to 8 bits, then exported as jpg.
viewed at 1:1 zoom from a distance far enough that the dither artifacts become invisible the second image should theoretically appear to have more gray tones? i'm not really seeing it though. maybe the lx3 takes low bit depth images, maybe its my monitor, maybe this is just a bad image for it (the effect would be most obvious in gradients). actually, the dithered image appears to lose detail in the darkest shadows so ??? perhaps this is a dead end for now