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Sorry, but this level of understanding the server is beyond me, so I can't give a clear answer.

I know that clean installs of the board software Wizchan uses generates something related to APIs automatically so it's probably not specific to Wizchan. If there's a type of file that may have been generated and accessible to the public that might be of use to you, let me know what it might be called or where it might be located and I'll search for it in the back.

Vichan and NPFchan never implemented boards.json by default it seems - https://github.com/vichan-devel/vichan-API

From the github npfchan

 $entrypoints['/%b/%d.json']                = 'sb_api_board';
  if ($config['api']['enabled']) {
    $entrypoints['/%b/threads.json']         = 'sb_api';
    $entrypoints['/%b/catalog.json']         = 'sb_api';
  }

- https://github.com/fallenPineapple/NPFchan/blob/master/inc/route.php