I suggest a NEW User Interface in the form of a simple POP-up dialog box occurring after each cleaning session.
The dialog box would ask the User "Do you want to proceed to the next level of cleaning?" YES or NO, i.e. (Exact moves to Very Close or Very Close moves to Good, etc..)
This dialog box would allow Users to one-click the "Rinse and Repeat" action of a deeper cleaning, thus unifying the deduplication experience in a smoother, more meaningful, cohesive way.
Perhaps, you could set this up somewhere in Settings where you could turn this feature on or off for folks to choose.