BuddyPress.org

== but doesn’t hide the tabs. ==

You mean hide the main navigation links to the BuddyPress pages?

@nickharambee Remove the BP Component Pages you want to make private from the custom menu https://codex.buddypress.org/extending-buddypress/how-to-set-up-your-main-site-navigation-using-the-built-in-wordpress-menus/

Add the following to your theme’s or child theme’s functions.php file

add_filter( 'wp_nav_menu_items', 'mme_loggedin_only_links' );
function mme_loggedin_only_links($items) {
if (!is_user_logged_in())
return $items;
else
$ouractivity = '<li><a href="' . home_url('/') . 'activity' . '">' . __('Activity', 'buddypress' ) . '</a></li>';
$ourmembers = '<li><a href="' . home_url('/') . 'members' . '">' . __('Members', 'buddypress' ) . '</a></li>';
$ourgroups = '<li><a href="' . home_url('/') . 'groups' . '">' . __('Groups', 'buddypress' ) . '</a></li>';
$ourgroupforums = '<li><a href="' . home_url('/') . 'forums' . '">' . __('Forums', 'buddypress' ) . '</a></li>';
$items = $items . $ouractivity;
$items = $items . $ourmembers;
$items = $items  . $ourgroups;
$items = $items . $ourgroupforums;
return $items;
}