This tool moves a single paragraph up/down inside a table cell, and is useful for changing the order of bulleted items in a list.
It also supports the standard reordering tools that move paragraphs up/down in regular text or rows up/down in tables. Details of this standard functionality can be found in the Moving Table Rows post.
The tool uses the context of the selected text to determine what to move.
If the cursor is in a table cell and there is no range selected (i.e. just an insertion point) then the function will move the paragraph up/down.

If the cursor is in a table cell and a range is selected, or a whole row (or rows) is selected, the standard OutlineMoveUp/Down will be used to move the rows up/down.
If the cursor is in standard text as an insertion point or a range is selected, the standard function moves range up/down.