This would let you download the list of objects to excel sheet. Then you can play around with the data in excel or source the data from excel into Web Intelligence.
There are cases where the Designer tool won’t let you use the same name. I have tested specific cases but from what I have observed, it will not let you use the same object name for two objects in the same top level class. For example, if you have a Class1 and create SubClass1 under it, the Designer tool will not let you have objects named Object1 in both classes. This may not be a hard and fast rule as I said. This is just what my sometimes faulty memory is recalling.
Another issue is if you use the Metadata Manager product. It determines lineage and object usage by object name. If you have two objects with the same name in your universe, it will give you bad information.