Method already tested by me if you don't have too many parts to change name:
You change the name of the part on Windows
You open your drawing, he'll ask you where the room is. You take the one with the new name. Then you save your drawing. There you go, inventor will make the link now.
(Tip in addition, I imagine that the part will be in an assembly too, so keep the assembly open not far either to save the link :) )
live (without design assistant) you can link a bet in B" on a "A" part
It's in the Manage/ribbon tab insert/insert an object.
There you check create from an object and you check link.
As for the wizard, it's almost a database on its own...
I access it occasionally to find ALL the sets that are made up of a known part: very practical when you have several versions of prototypes in many folders and subfolders.