When using Scheduler to publish or unpublish nodes, update most recent node revision to have same author as node.

test.module

<?php
/**
 * Implements hook_scheduler_api().
 *
 * @param $node
 *   The node object being acted upon.
 * @param $action
 *   Action being performed. Either 'publish' or 'unpublish'.
 *
 * @see _scheduler_publish()
 * @see _scheduler_unpublish()
 */
function acquitest_scheduler_api($node, $action) {
  // Update the just (un)published revision to have the same author as the node.
  db_query('UPDATE {node_revisions} SET uid = %d WHERE nid = %d AND vid = %d', $node->uid, $node->nid, $node->vid);
}