I don't know if anyone has actually done it yet, but for scans of models in controlled lighting environments, you could use higher dimensional Gaussian Splatting to get more accurate lighting than standard techniques. (Similar to the 4D version with time, use higher dimensions to encode light source coordinates.)
or spherical harmonics of the illuminance field; you only need a very few spherical harmonics to get an excellent approximation of lambertian diffuse lighting
