An operation maintains Pointer Stability means if you take a pointer to an element in a data structure and then execute that operation, the pointer is still valid and pointing to the same data.

Think about how vector would be implemented under the hood. What happens if you delete an element? Does it shift down all of the elements after it? If you do that, the objects have literally moved in memory. Any pointer that points into those memory locations is now invalid. That's a problem if you wanted to hold onto pointer to elements. But if you declare that your interface has certain pointer stability guarantees then suddenly your implementation is massively constrained. Now your vector implementation will have big gaps that you need to deal with and will waste a ton of memory if you add and remove many elements.