I have Use Fuzzy Search disabled in my client options but by default Basic Search is using Fuzzy search. I have to add the "Text" search module, un-check Fuzzy Search, then remove the "Text" search module. Then I can do an exact search in Basic Search.
From my understanding modules that are not included in a search should not apply, this is also confusing since you do not know if you are searching Fuzzy or Exact when using Basic Search.