How do I ensure I caught all errors from MySQLi::multi_query?

Despite the code example in the docs, perhaps the better method would be something like this:

if ($mysqli->multi_query(...)) {
  do {
    // fetch results

    if (!$mysqli->more_results()) {
      break;
    }
    if (!$mysqli->next_result()) {
      // report error
      break;
    }
  } while (true);
}