I doubt you’d want to automatically remove the object from the reports. Removing the object from the data provider could possibly be automated, but it likely would leave a mess of the report if that object is used in any formulas, breaks, etc.
There is a utility here that would help identify WHERE a universe object is used. It may not help in your case (you already know which reports), but this is the more typical “impact analysis” approach.
Dwayne Hoffpauir 
(BOB member since 2002-09-19)