This is already what's done, AFAIK, in the search window. So when you doublwclick a file, the filename added is the most popular filename that file had. Once added, IMHO, taking over every ten minutes the filename could have a file changing it's name quite a lot, since the most "popular name" will depend on the sources you have listed in that very moment.
This could lead to prblems when trying to find a file... Also, some files have very popular non-identifying filenames, such as i.e.: "This is non Knoppix 2.iso" when someone had had the filename as "Knoppix 2.iso" and it actually was "My parent's trip to Jordania.iso" which is what you probably are trying to download instead of Knoppix. I hope I made myself clear... though I'm not quite sure about it ;-P
Well, that's my opinion, personal opinion, of course. I think the imortant point is hat search already adds the file with mthe most popular filename, and that that filename can be changed whenever you like through file details.
Greetings!