I wouldn't call myself expert but I can sew - I looked at one of my POs as if I I had to take it apart, what would I need to do - - mine are canvas but I think the pattern is the same on the empriente? To reverse engineer it, you would unpick the stitching all around the edge, the the pockets would be unfolded to make one flat piece about 11 inches (28 cm) long, or they come off as two separate pieces which is all hidden by the glazing. The glazing also has to be stripped off. My guess is that the pockets are separate because they have to create the diagonal card slots and the other card slots and those are probably more easily precision cut (hand machined

on a laser cutter perhaps). Then the lining piece is separated from the cover. Trim, put back in place - - they look very machine sewn to me ('by hand" - in other words not a robot running the machine) so an artisan may be required to resew it by hand to line up the holes again, using a magnifying glass. Their idea of "repair" may be to just cut two new pieces from leftover material for the lining and cover and reuse the precision-cut pockets. If I had extra material (and I bet they do) that's how I would fix it. In your case it looks like the artisan just cut the original lining a centimeter or so too large and instead of correcting it at the time, sewed it in creating the wrinkle. Then they trimmed off the edges and applied the glazing. Looks fine until you open the PO.
this hand-sewn by machine process was very evident in the round Christmas animation pieces last year in which many of the round coin purses had a wonky stitch or two. The artisans were forcing too much material under the needle - the wonky stitches are right where the zipper ends so it is fatter overall when that area is going under the needle, and gets pushed off the feed dogs of the machine (the feed dogs are the mechanism under the fabric that feeds it through the machine, the foot on top presses down on it to ensure a good feed and to keep it straight, and a "walking foot" can be used to feed from the top so both sides go through evenly when you have two different types of materials or weights) There is also a differential feed on some machines that do this automatically. A good sewer will anticipate this and slow waaayyy down to ensure one goes stitch by stitch, pushing by hand on the edge to keep the line of stitching even. But if you are in a hurry to pump out a bunch of product, or less experienced, you might not do this and call it a day and let it rip

(another one of those items where LV quality has declined). If these were totally hand sewn, the wonky stitch would not happen because the artisan can push the hand needle into the correct alignment, but it is difficult to hand sew through so many layers. (which is why leather is often pre-punched with small holes for the thread to go through)
On the chaps, I think many of those are still hand sewn which is why there is a specific # of stitches on each side of the chap that are consistent. It is a thicker thread and larger holes in the chaps.
Hope any of that made sense.