Wrong access permissions for admin paths

It seems that just fixing those particular access permissions is not enough. Under certain circumstances those grouping menu items should not be displayed. Example:

A user does not have any permission to administer stuff below 'Site building'.

In a case like this, access permissions need to be inherited backwards, i.e. only if one child item is accessible then the parent item has to be accessible, too. That check is only needed for menu item groupings.

As a temporary fix for admin_menu I've inserted this snippet:

  $mid_admin = $_menu['path index']['admin'];
  
  // Temporary access permissions fix for root menu items until #126621 is committed to core.
  foreach ($_menu['items'][$mid_admin]['children'] as $key => $parent) {
    if ($_menu['items'][$parent]['access'] != false || !isset($_menu['items'][$parent]['children'])) {
      continue;
    }
    $is_accessible = false;
    foreach ($_menu['items'][$parent]['children'] as $key => $child) {
      if ($_menu['items'][$child]['access'] == true) {
        $is_accessible = true;
      }
    }
    if ($is_accessible) {
      $_menu['items'][$parent]['access'] = true;
    }
  }

This might be helpful for fixing this issue in the menu system of Drupal 5, but I've no clue about how and where to fix this. If anyone has some helpful hints I probably could code a patch to fix this issue.

Setting correct version.

While a similar issue for Drupal 5 has been marked won't fix, contrib modules like admin_menu still need some ugly workarounds to circumvent these wrong permissions in the menu system of Drupal 5.
However, due to the new menu system, I was not yet able to port admin_menu for D6. Thus, I cannot tell whether those bugs still exist.

Marking as duplicate of #296693: Restrict access to empty top level administration pages