We regard the ability for non-administrators to see the list of all users in edit_users.php as a security risk and data privacy issue. Non-administrators should only be able to see their own details.
I have modified edit_users.php to default to Action=Edit for non-admin users, selecting their own record, regardless of the Action and Id specified in the URL. Not pretty but it overcomes the problem. See lines 265-278 of attached code.