Deleting playlists from one device, but keeping them on others

I'm planning on removing all the music from my iPad due to storage issues/. My concern is this: (and yes I know that deleting playlists does not delete the songs from your library) If I remove the music, including the playlists which are also on other devices, will I lose the playlists elsewhere? I know that if I create a new playlist on one device it automatically populates it to all my others, so by that math...?