*Colorbalance rgb, hue 180:

*Channel Mixer (Color Calibration) with inverted colours:

RED (R -1, G 1, B 1), GREEN (R 1, G -1, B 1), BLUE (R 1, G 1, B -1)
You will notice a large black patch in green (now magenta). That is because the green part of our gamut is far larger than the magenta, and when you invert, you go out of gamut. It goes black because of the way color calibration deals with clipped colors, which is different to how other channel mixers handle clipped colours (or don’t).
*Channel Mixer (Color Calibration) with a compromise on the inverted colours to avoid the black clipping:

RED (R -0.3, G 0.65, B 0.65), GREEN (R 0.65, G -0.3, B 0.65), BLUE (R 0.65, G 0.65, B -0.3)
*For reference, Colorbalance hue shift 180 with blend mode ‘chromacity’ is very similar:
