I've been to LIDL / Schwarz Group headquarters in Heilbronn last year, and while they're a super young company with a vibrant atmosphere (which quite unique amongst large German companies), IMO they are ultimately too much attached to their legacy cash cows.
They are not streamlining retail processes because they earn too much money with it.
They have great IT talent, which is building fancy pilots all day, but refuse roll them out because it will cannibalize their core business. Their core business is keeping people in the store for as long as possible so they buy more stuff.
On the logistics side, they have been the first large-scale retailer to digitize the EUR-pallets (they have RFID-based plastic pallets) which allows for some pretty fancy stuff.
They roll out their pallet processing tech at the suppliers' plant and have logistics data in their systems even before it is loaded on the suppliers' trucks.