Dvd colours can hardly be taken as correct reference. From my experience, I’ve almost never seen any home video faithfully preserve the 35mm print look. I think many will prefer the warmer toned look of the better print (not this red faded one) as seen in the earlier photos. The warm yellow-orange tone of the prints suits Shining the best. I truly appreciate your effort at correcting the colour, just saying that the unfaded print (not the one you have) colours are perfect and beautiful; much better than colours on the DVD.
What you can do is add a bit of warm filter to your corrected image and see how it looks. Poita’s images from the print that’s missing reel 4 is the correct warm colour and shows the beautiful orange timing. That should be the true reference colour-wise.