In general tables don't show the empty rows, so it'd be cool if the empty rows weren't shown also.
Below is how I added it, by only adding header after checking if data was empty else continueing.

Can make a patch if desired. Could be good if it's a confirgurable option 


foreach ($view->field as $field) {
    // If auto_nodetitle module is enabled and the title field is to be overridden don't display it.
    if (module_exists('auto_nodetitle') && $field->real_field == 'title') {
      if (auto_nodetitle_get_setting($form['#node']->type) == AUTO_NODETITLE_ENABLED) {
        continue;
      }
    }

    
    $classes = array();
    $cell = array('data' => '');
    foreach (module_implements('field_form_render') as $module) {
      $function = $module .'_field_form_render';
      $result = $function($form, $field);
      foreach ($result as $key => $value) {
        switch ($key) {
          case 'data':
            $cell['data'] .= $value;
            break;
          case 'class':
            $classes[] = $value;
            break;
          default:
            $cell[$key] = $value;
            break;
        }
      }
    }
    if (!$cell['data']) continue; 
    $cell['class'] = implode(' ', $classes);
    $header[] = $field->label();
    $row[] = $cell;
  }