Going off needed quite a few photos for references, in theory, could you just use one large high res photo that has multiple frames in it to get a quality lut out of it?
I don’t know if it will work for the automated color grading, but it did for DrDre’s color matching tool. I used that with 9 frames to get a LUT that regrades the AOTC Blu-ray to the DVD colors. This is of course not a perfect solution, but it gives good results.
And I’d assume the same holds for the automated color grading: It should work but won’t be as good as having the algorithm grade single scenes.