It looks like DrDre’s color matching tool can output a LUT based on the reference and target images.
Even if it proves impossible for me, and I’m planning to give it a try when I am able, it should be possible for the user to create LUTs to be applied on a scene-by-scene basis. Or perhaps even more general, like a ‘Hoth LUT,’ ‘Dagobah LUT,’ etc.
I wouldn’t know until trying, but I wonder if one could create, say, 10 LUTs from random points in the film, and apply them uniformly to the final product, each at 10% effect.