UAM – Child pages inherit access rights of parent

I have a site with a top level custum menu (Shaan 1.1.8 theme). Each top level menu item corresponds to a page. It seem that pages that are children of top level pages inherit the UAM settings for that top level page.

I need to be able to restrict the UAM rights of child pages to fewer groups than the parent page. I know that not specifying any groups at the top level page would work, but I don’t wish some of those menu items to be seen by non-registered, non-assigned users.

I cannot find a setting in UAM that covers this.

Any ideas would be appreciated.