How to reorder mapper titles in layer control/explorer in MapInfo Professional

Current versions of MapInfo Pro (15.2 and earlier) do NOT allow the re-ordering of the Mapper entries as they appear in layer control or Explorer.
The layers within the Mapper entries can be re-ordered but the parent mapper entries cannot be re-ordered.

Sample mapper titles that cannot be re-ordered are highlighted below in Pro 15.2

User-added image
UPDATED:  April 21, 2017