After reading all of your responses I started thinking, which I do sometimes!

Maybe the Completed Downloads I'm seeing is a legitimate function in LW and not a bug. Please consider the following:

If the person(s) uploading from me are sharing their download folder AND they are allowing Partial File Sharing And, I performed a search for the same files (which would include them because they are online) wouldn't LW's response be correct in notifying me that I already had that file?

Whatdya think? You can experiment a little yourself to see if this holds water.