I have a hierarchical custom taxonomy "company".

Companies are hierarchical, they can have both owners and subsidiaries. So, some of my "company" terms have parents and children. Take this real example of a set of my "company" terms

• WPP
  • 24/7 realmedia
  • AKQA
  • GroupM
    • Finecast
    • Group M Entertainment
    • Maxus
    • MEC
    • MediaCom
    • Modi Media
    • Real Media Group
    • Xaxis
  • JWT
  • Kantar
    • Kantar Media
    • TNS Media Intelligene
  • Millward Brown
  • Ogilvy
    • Ogilvy Entertainment
  • Possible
  • VML
  • Wavemaker
  • Wunderman

What I'd like to do, on a company term page, is to show the full corporate tree, as above, in order to situate the term in its full hierarchical context.

That goes not just for the top-most term, eg. "WPP", but also a mid-hierarchy child or grand-child, eg. "GroupM" or "Ogilvy Entertainment.

I don't mean all terms in the "company" taxonomy, I mean all terms up and down from the given term, including children of upper terms.

In other words, for any term, spin back up to the top-most parent and display all sub terms properly, in an indented HTML list - preferably with something unique applied to the current term title, eg. no get_term_link applied.

What I have so far is the following...

  <?php
      // Parents
      $parent_args = array(
        'inclusive' => 'false'
      );
      echo get_term_parents_list( $organisation->term_id, 'company', $parent_args );
      ?>


      <?php
      // Children
      $org_children = get_term_children( $organisation->term_id, 'company' ); // Get child terms of this

      echo '<ul class="list-unstyled">';
      foreach ( $org_children as $org_child ) {
        $child_term = get_term_by( 'id', $org_child, 'company' );
        $child_id_prefixed = 'company_'. $child_term->term_id;
                if (empty(get_field( 'domain', $child_id_prefixed ))) {
                    $favicon = 'null';
                } else {
                    $favicon = get_field( 'domain', $child_id_prefixed );
                }

        echo '<li><small><img src="='. $favicon.'" width="12" class="mr-2"><a href="' . get_term_link( $org_child, 'company' ) . '">' . $child_term->name . '</a></small></li>';
      }
      echo '</ul>';
      ?>

Which produces this...

However, this:

1. Is a two-step process, in which I get parents and then children (I'd prefer a singular process).
2. The output is not an indented list.

So, how to show all possible parents and children of a hierarchical taxonomy term?