Does not apply to fields moved in hook_form_alter

I am moving some form fields into the "Publishing Options" vertical tab group using hook_form_FORM_ID_alter(). This movement, however, means that the elements are not found by Conditional Fields after_build callback and as a result the dependency is not applied.

My code in hook_form_FORM_ID_alter looks something like this:

function example_form_node_form_alter(&$form, &$form_state){
  $form['options']['field_field_name'] = $form['field_field_name'];
  unset($form['field_field_name']);
}