I worked and spoke with Support:
At the moment, certain filters and configurations for Queries are not available within the Web Desk. If you create a Query from within the WebDesk and the feature you are trying to set is not available, in this case limiting the displayed text, then the feature is not available in Web Desk. Easily understood.
So at this time, the console feature of truncating the text displayed is not available in WebDesk.
Hope this helps others that are searching
Thanks,
Mike