I don't really get what those 2 images meant to be... The noise that you refer to usually looks like when you have weak reception with an old TV, and is mostly visible in the dark colors? Then, don't you happen to use D-SUB instead of DVI?
Regarding the gamma and seepage... the thing is that even if, let's say, a panel has 8 bits (256 grades) per subpixel, and doesn't apply tricks like FRC, then those 8 bits will not be enough to correctly display 16,7M, execept at a single contrast + brightnes + gama + color-temperature setting. So it is not just gamma, almost all monitor settings do mater. If you have different settings from the said ideal one, then there will be some banding, seepage, etc. Think about it as mapping the values from 0-255 (input coming from DVI) to numers between 0-255 (value that drivers the brightness of the subpixel). If you don't do an same-to-same mapping here (i.e. 0 to 0, 1 to 1, 2 to 2, ... N to N), then you necessarily will have some repetations (0 to 0, 1 to 1, 2 to 1, 3 to 2) or jumps (0 to 0, 1 to 1, 2 to 3, 3 to 4) that will cause banding, or you may reach white to early (251 to 253, 252 to 254, 253 to 255, 254 to 255, 255 to 255). Also if this mapping is different for R and G and B subpixels (for example because of color temperature settings), then you will have some incorrect color (seepage). But with tricks like FRC and dithering you can have more grades (more precisely, dithering, at least in the sense as 970P does it, doesn't add any extra grades if we look at an individual pixel). Said EIZO document seems to say that his monitor is real 8 bit, plus it uses FRC to seemingly achieve even more grades. Now, Samsung 970P seems to have subpixels with 64 grades (6 bit), and then it applies dithering to apparently achieve 256 grades... (or rather just 253, that only gives 16.2M colors, not 16.7). So, if you look at a gray gradient (not a real-world image like a photo or a game) 970P has obvious banding and seepage, except if you set contrast to 50, brightness to 50 or more (because over 50 it just gradually increases the streangth of the backlighting), gamma to 0, and turn off color temperature correction. Even then, because of the dithering, the gradient will have an awkward texture (checkboard-like patterns). But of course, you hardly ever watch gradients in real usage... Still, I see saying 16.7M for this monitor as a marketing trick.