Tony raises a valid point. The angle of the screen is quite different for the Mac from the Eizo. To compare the colours the screens must be parallel to remove the angle of view from the equation. The fact that you don't see as much difference with the naked eye isn't surprising ... the brain corrects colour perception to what it knows the colours ought to be while the camera sees what's really there.
Both displays have IPS type panels with decent viewing angle characteristics, so it's virtually non-issue in this case.
Chromatic adaptation takes some time, so in direct comparison you can see if there's a visual difference or not.
A trichromatic sensor doesn't "see" what colours "really are", that's a pure urban myth! In fact it's virtually impossible to capture "real" colours with such camera, and the more the spectra of light that illuminates the scene differs from the daylight, the less "faithful" colours we get. But even under daylight the captured colours are always more or less distorted, and it's physically impossible it would had been otherwise.