Just about every shot in ANH has some unique issues to it. This is one that was never recomposited (or done so exactly that you can’t tell) so it has remained unchanged from the 77 premier. In my work on the blu-ray, this is one of the shots that looks the best. But getting the right color to match requires a lot of fiddling. So while my correction doesn’t look a whole lot different from the uncorrected one you shared, it is.
I had done a rough correction previously (I went through and picked out the scenes that my global correction didn’t fix) and I did a finer level of color correction.