It appears the disqus information after a node_load() lives in $node->disqus , which is an array which has, for example:

[disqus] => Array
  (
      [domain] => geforcecom-uk
      [status] => 1
      [url] => http://www.stagecms.nvidia.com/whats-new/articles/e3-2013-the-witcher-3-wild-hunt
      [title] => E3 2013- The Witcher 3: Wild Hunt Developer Interview
      [identifier] => e3-2013-the-witcher-3-wild-hunt
  )

However, the disqus_node_insert() appears to refer to a *non-existing* property $node->disqus_status :

/**
 * Implements hook_node_insert().
 */
function disqus_node_insert($node) {
  // Clear the value from the database.
  disqus_node_delete($node);

  // Write the value only if it's disabled (default is enabled).
  if (isset($node->disqus_status) && $node->disqus_status == FALSE) {
    $data = array(
      'nid' => $node->nid,
      'status' => $node->disqus_status,
    );
    drupal_write_record('disqus', $data);
  }
}

Because of this, the disqus DB table is never populated because the if() is *never* true.

It looks like this may be an easy fix. Potentially patch the above disqus_node_insert() function so that it references $node->disqus['status'] instead of $node->disqus_status.