Well, this is just really tricky to do as it’s not supported by List Shifter. The reason being that List Shifter (in general) does not know, nor does it care, the VALUES of the items in your list. This is part of the magic.
Consider the following:
Q: What do I need to know to swap two items in an array? Do I need to know their values?
A: No, I do not need to know their values. I need only know that you want to take item X in the list and swap its position with item Y in the list. And this is what SWAP does.
When LS is in Pagination mode, there is (at present) no concept of X’s position in the full list versus where it is in the currently displayed page.
It’s not impossible to know this, it’s just something that List Shifter doesn’t handle right now.