When editing the order of a list in Lists Of Bests, try hitting the down-arrow button on a line item (the third in a group of four arrow buttons for each item).
The order does not change.
My guess is that the down-arrow button increments the number of the current item, then reorders the list. But when two items have the same number, the item that was just changed to that number takes precedence. So the end result for hitting the down-arrow on an item is no change in order.