I recently put my D810 on the RH200 F/3 and noticed something quite similar. Some of what you have could be caused by bad flats but other parts, like what I got, are caused by something more irritating.
The sensor in a Nikon (at least their FX sensors) is housed in a deep rectangle that is about the same size of the sensor. For me at F/3 the light angle is quite steep, for you at F/2.2(?) it is even steeper. On-axis light isn't affected but the further you move off axis the more light is blocked by the interior walls of the camera.
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