The measurements of degrees Kelvin are measurements of color temperature and not measurements of light intensity. The color of a northward exposure to blue sky is normally acknowledged as being 5500 K. Thus daylight color film is balanced for this color temperature.

Tungsten film which is color balanced for a warmer light source (more yellow) will render a daylight exposure as excessively blue. The higher the degrees Kelvin the colder the light source and conversely the warmer temperatures are lower in degrees Kelvin.

I do not believe the measurement of color temperature that a meter is calibrated for will cause a measurement of differing amounts of light intensity.

Light meters, even the best of them, are prone to differing measurements and are influenced by such things as internal and external flare and the sensitivity of the photocell to IR and UV emissions. That is why green pine trees very often are a lower negative density (in a black and white film) then what a meter reading would indicate (the amount of IR emission).

This is further complicated in black and white film by the sensitivity of the film emulsion toward red in the case of panchromatic materials and blue in the case of othochromatic materials. I think that it is important to gain experience with a particular meter and learn it's characteristics. From this knowledge, one is able to meter a scene more accurately and in conformity with the materials used.