What would be the reason to use CIELAB, CIELCH, CMC, CIE94, and CIE2000 (all of the above together) to calculate color difference from sample to standard?
There really is no reason to use all of the color difference metrics together. The reason that many instruments/software systems provide all of those metrics is that different people are accustomed to using different metrics and the instrument manufacturers like to provide all of them. Generally in most applications you could settle on consistently using just one of the metrics.
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