The concept of an Encoding being different to the displays target for calibration is common.
Rec709 has a different encoding vs. calibration too.
The primary reason is to manage near black issues with capture/encoding, as well as apply a different 'system gamma' to counter viewing conditions, etc.
With sRGB encoding, the assumption was the images would be graphics, so the linear portion near back is to prevent crushing near the black floor/noise level whne the image is displayed.
You do NOT want to add that to the monitor calibration, as that would lift the noise floor.
Steve
Steve Shaw
Mob Boss at Light Illusion