My 71 XJ6 came with a jack and turning handle both painted in light gray. And also a folding lug nut tool with a folding handle in bare metal. A call tool. All in a sturdy black cloth bag.
The 73 had the same jack and handle only in blue lavender. Perhaps Sir William had developed a sense of humor? Also, a common four handled black lug nut tool. I doubt the lug nut tool was original.
Is the 71 nut tool original. How about the lavender color?