I cannot really tell from those pictures, but that does not look like the coating issue. I know it is really hard to get good pictures of screen related issues due to the lighting & reflections and just the glass itself.
I agree with @ninad14, that it looks more like a residue left behind on the screen.
You need to make sure your microfiber cloth is clean. Plus while cleaning the screen you may need to use a fresh dry section of the cloth to help buff out any residues. I use the old LCD cleaners even on the current Macs in order to help cut through the grime a bit (the laptops I support tend to get very dirty). The LCD cleaner is still mild enough to not damage the coating at least with occasional usage.
With the more recent Apple laptops, I find I must use a clean dry microfiber cloth to buff out the residue if you initially used water (or other liquid) at first. A clean cloth is critical. A dry cloth is critical. This will allow you to buff it out. The type of microfiber cloth can also play a role in how well it cleans the screen. You may need to flip the cloth to a fresh clean dry section a few times as well or you may just end up smearing the residue around. Sometimes I have to go back with a damp cloth, followed by another dry cloth. It is hard to clean these newer screens.