From
Image Science :
The problem is that these machines can currently only output YUV (AKA YPbPr) colour, rather than the type of colour pretty much every other computer on the planet outputs, i.e. RGB.
YUV is a video oriented colour format, and pretty much no colour management systems or tools are built around YUV, or work with YUV.
This means you currently cannot calibrate monitors attached to M1 machines without potentially introducing issues like banding. And in fact, most of the calibration systems don't even run on the M1 systems yet.
This quote from Image Science is completely incorrect.
From the MacOS side of things, from a development and calibration standpoint, there's nothing any different about how either the built-in display on the 13" M1 laptops work; or how external displays attached to either the laptops (one only allowed) or the mini (2 allowed) work.
Calibration is done by measuring uncalibrated RGB patches on the screen, with all system level calibration and color management disabled, to measure the "raw", uncalibrated, "native" response of the display (affected only by "hardware" controls in the display - the front panel controls for an external, or the brightness adjustment and other System Preferences internals, for a 13" M1 laptop display).
Once those patches are measured, calibration software calculates calibration look-up tables, aka LUTs, that are a set of 3 curves, one per RGB color channel. The upper right endpoints of these LUTs provide the color temperature adjustment for the display ("native", with no adjustment, would be 255's for each channel. Adjustment to color temperature will be provided by one or two of the endpoints being pulled downward. Adjustment to brightness can be provided by moving all 3 endpoints down by the same amount, in addition to the color adjustment). Adjustments to gamma, so that the display being calibrated exactly matches the target gamma for the calibration, is provided by the shape of the curves in all 3 channels.)
The calibration LUTs are stored in the vcgt tag in the display profile that's created, and MacOS automatically uploads these into the video card. The calibration therefore affects all color on that display, with the display profile assigned to it (as seen in System Preferences:Color

isplays).
There is
nothing different about how this works on M1 Macs, vs. Intel Macs.