I don't do video, but my understanding is that video is generally not color managed. That means you can't use a wide gamut monitor in its native state. You need to limit the gamut by setting the unit to either the sRGB or the Rec709 presets (the two have the same primaries).
Then you calibrate the normal way by choosing white point temperature and luminance, contrast/black point, and gamma. Rec709 has gamma 2.4, so if you want to follow that broadcast standard that's what you should set your gamma target to. Otherwise use 2.2.
In a color managed situation you also have a display profile, which is a detailed description of the monitor's response in its current state (calibrated or not). Using this profile, color managed applications will remap into the extended gamut of the monitor, so here you can use any monitor preset. It's always best, however, to use the native/custom setting so that the unit is not restricted in any way.
A display profile is just a description of the display's current behavior. It's not tied to any other color space than the monitor's own native, which doesn't have to match any of the standard spaces.
But if you change any monitor setting, that invalidates the profile. It is no longer a valid description of the monitor's current state. So then you need to make a new profile, or load one that corresponds to the new state.