If you made sure the drive board is connected correctly there is probably nothing that can be done (other than having a professional doing repair on the drive board and/or Wii U mainboard) if one is able to locate anything has gone bad.
There are some old Reddit posts about workarounds with varying success and some GBAtemp threads (as well a source I can't find at the moment where somebody claimed a CPU reflow did the trick – sounds strange, dangerous and complicated; definitely the very last thing to try if everything else fails).
https://gbatemp.net/threads/code-error-160-1400.551946/
https://gbatemp.net/threads/wii-u-160-1400-error-no-disk.407829/
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https://gbatemp.net/threads/absolute-fix-to-160-1400-error.572879/
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It is never a bright idea to have different parts of a device being married to each other like the Wii U drive board and mainboard (look at recent Apple phones for
WORSE examples). Most of the time this is justified by the manufacturer with security or even DRM reasons. Really
BS, not future proof and prone to failure.
Personal comment/opinion:
In case of the Wii U I would even call it a deliberate attack on the property of the user: The user paid for the Wii U and the hardware belongs 100% to the paying customer. In this case the paying customer can't use it anymore because a
non-essential part drive(board) or something processing data from the drive board on the mainboard failed. Having the OS complain, maybe even on every boot, but continuing normal operation after a
"My drive is done for!" with the remaining hardware would neither have compromised security (DRM) nor caused any harm on the user.
I would say they have no right to disable the rest of the Wii U if it can't connect to it's drive board.