This 1981 featurette has a short clip of the filming of the bar scene, and shows the lighting conditions are consistent with the colors of the LPP. The clip can be seen approximately at the 8:20 mark:
Looks pretty neutral to me, like I was saying. Certainly not wildly off from the print by any means, just slightly more toward naturalistic, neutral tones. I do feel the print is certainly a heck of a lot better than the overly warm colors of the DVD or blu Ray. His hat appears the correct shade of brown in that featurette, which supports my suspicion that not much was changed in the grading from the colors captured on set.
I think the “trailer 3” screencap was probably the closest, at least to my eye. It’s consistent in look and color pallet to the other trailers and the print, but looks a bit more natural. In the print and other trailers, Indy’s hat takes on this blue-green color, which is of course not very close to the hat’s actual color.
I’m sorry to keep muddling up your thread with this, it’s totally not the place as the goal here is just to match the print, not speculate on colors.
Maybe a thread should be made to discuss the color timing of Raiders.