Sir,
L*a*b* values for metallics in reality have little foundation.
Because of the nature of metal particles, usually either aluminum or bronze, a spectrophotomer has virtually no ability to accurately and consistently produce consistent L*a*b* numerical values.
Why you may ask? It is because these metal particles go through a process called leafing. The leafing effect which occurs when a true metallic makes contact with a given substrate, is constantly changing because of the mechanism of leafing, the migration of the metal particles to the surface of the ink film.
This leafing and scattering of the reflected light interferes with the spectro's ability to read and transmit data. The leafing can occur from the point of printing to some 72 hours after. And..any disturbance of the printed metallic film will be skewed from any or slight abrasion inflicted upon the printed film.
If you can view the metallic ink film versus a normal pigment ink film using a profilemeter, you will be able to view the same obstacles the spectrophotometer has versus the human eye. High magnification also depicts this.
Hope this helps.
D