The feet have probably absorbed mobile components in the finish, although there is a chance that mobile components in the feet have screwed the finish.
If the feet have absorbed anything, those components really need replacing in the finish. All you have to do it work out what has been stripped from the finish, and replace it.................................
Try on one of the rear marks first - lots of oils and waxes might fix it - take your pick as a starter. Even TINY smears of sunflower or rape or olive oil MIGHT work, or a good beeswax polish, but leave for at least a week or two to judge. A long job unless someone has cracked it already.
If the feet have lost something into the finish, the solution is likely to be far harder to find.