reset slicer without bookmark

Hello Fellow Daxers

Is it possible to reset a slicer using a Dax measure and not a bookmark?  I have a matrix, filtered by providers.  If just two providers are set--I have a slicer that presents some nice options to look at various pieces of a venn diagram.  (ALL, BOTH, 1 only, 2 only).  But if a user selects three or 50 providers, the slicer should basically just show ALL and no other options.  

What happens, is if the last slicer selection is BOTH...and the user picks more providers--I can get the slicer to show one item, but can't get the slicer to reset so that it will always show ALL (or disappear for that matter.) 

Here's the measure I use to filter to get it to show just one item if more than 2 providers:  I was hoping the filter in the Calculate would reset the table and therefore the slicer.  I know, that doesn't make sense...but what does?

NotHeadToHeadFilter = IF([DestProvCountForMatrix] <> 2, CALCULATE([DestProvCountForMatrix],JoinOptions[Index] = 1),2)

I can do this with buttons/bookmarks, but I'm curious so...is there another way?  Here's a sample .pbix and some screenshots.  Thank you! Tom

This one is Great!Want to have it reset to ALL