At first:
I must use keys, like “field_5729dc2c38f13”, instead names of fields.
The solution for hidden in acf_form() fields (By “hidden” I mean that I don’t show it the field to user in front-end):
update_field('_status', $status_term_obj->term_id, $post_id); // don't work
update_field('field_5729dc2c38f13', $status_term_obj->term_id, $post_id); // work!
I hope that will help someone.