Not if you deleted it from the iTunes library, but you would if you deleted it from LW. You can also disable sharing from the iTunes preferences under sharing. After all with both this & LW's iTunes sharing enabled ... that's why you're getting a LW playlist. I should imagine after disabling the function the playlist will simply disappear. It did for me when I disabled it last year. (it annoyed my partner having my LW playlist on her itunes on her computer. )