How much of the result is vision accuracy and how much is dependant of the display?
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I would only expect poor calibration to break this test for colors near the edge of the display's gamut, or if there's a drastic-enough shift that the color space's lack of perceptual uniformity means a numerical difference that should have been visible ends up in a different part of the color space where that same numerical difference is not perceptible.
BTW, I used to calibrate color grading equipment for the film processing industry and the controls were strict, 18% gray walls, D65 calibration sources, densitometric equipment, Ishihara tests for me, etc. so I'm well aware of the issues.