Which gets me to think about the spectral fidelity of the camera sensors.
I remember that some of the problems with certain minerals (dioptase) are caused by sensors that have spectral sensitivity functions similar to the spectrum of LEDs or fluorescent lights.
In plain English: there are gaps in the sensitivity of the sensor elements (red, green, blue), and overall the sensor is not very sensitive to a particular wavelength or does weird computations to guess the real value.
If I got this right, that should not be too much of a problem as long as the spectral sensitivity function of each sensor element is still smooth and if there's sufficient overlap in sensitivity between the different elements. Then you should be able to compensate just as one does white balance.
Real gaps should pose serious problems, though.
It should be easy to detect gaps in the spectral sensitivity by taking a photo of a spectrum projected by a prism.
I don't have a prism, maybe I should try to get one and see if there's a difference between the output of my DSLR and the output of my mobile phone camera.
It seems to be even more difficult than I have thought, as discussed on
http://www.dxomark.com/index.php/eng/Technologies/Measurement-definitions/Color-measurements(how independent they really are I don't know)
But as Frank (de Wit) wants to do it right, he will use a brand new DSLR anyway.
So color fidelity should be a minor problem.