If I create a 3D-LUT in a daylight(5600k) environment will I be able to apply it to a tungsten(3200) environment and get similar results? or is the LUT married to the kelvin temperature? Thanks!
No, the LUTs aren't directly and necessarily related to the type of light source (daylight vs. tungsten) while shooting - as long as the camera was set to the correct temperature while shooting.
At times, when a mistake in setting the temperature in the camera was made, LUTs can serve to correct that mistake.
Shooting outdoors, there are different light temperatures under direct sunlight, overcast day and open shade. Also, in open shade, at times the environment casts a hue, like when shooting on green grass - in such a case the grass is likely to cast its' own green hue which will be reflected on the object(s) being shot.
The best is to set the color temperature accurately in the camera while shooting, either with a color meter, or by setting a custom white balance in the camera.
When this wasn't done, one can create LUTs to correct for accurate colors rendering. However those LUTs are different from LUTs intended to create a specific look to the scene. Those two types of LUTs can be combined by creating special LUTs, when each single LUT both corrects for accurate colors rendering and for creating a desired specific look to the scene.
