Correction, your NNID is tied up to a single console. Even if you delete all traces of it on your old Wii U you cannot use it on your new Wii U. The digital download is also tied up to your old NNID so you can't download it back for use on your new NNID. Even if you store the digital download on a USB external storage drive you cannot use it on your new NNID because the console won't see it as if nothing's connected if you tried to plug in the USB external storage drive.
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