Let me clear up my "why its not a mesh overlay" argument. Notice in both the swatch pic and the hi-res that the gridding is recessed. If it were an overlay, the grid would be raised. No matter how well you fuse it. That grid has to be taken away, and not added on. Besides. Fusing would add weight to the fabric, making it stiff. Does this all make sense? Not trying to be difficult, just stating what I see here based on my experience. Also, the mesh you posted a pic of looks nothing like the pattern.
You may be onto something with the open cell neoprene though. Found this in a quick search. Its for mats and gaskets, so it probably doesn't stretch, but the pattern is present. And it looks right. The way the outer fabric sticks to the cell structure seems to create the pattern. Now can we find this stretchy in about 1/16" thickness. The fabric looks to be about sweatshirt weight.
True on the black. But not so much from a filming standpoint as from a basic makeup of the color. Black is basically the presence of all color. Reds and Blues are the most commonly used to push them darker. This is why when you get a black t-shirt under a black light it turns red or blue in tone. Not sure about the "true" red... I design for the stage, so I don't have to worry about filming :eek
I'd say Navy is a good bet on this. A blue black possibly. You can really tell there's some blue in it when you look at her hands (I know... She has hands?) where her black gloves are next to her sleeve.