System Settings > Power allows 'Hibernation' to be selected 'When power is critically low' but not 'When the lid is closed'

After Hiberenation has been enabled in Ubuntu (by creating a '/etc/polkit-1/localauthority/50-local.d/com.ubuntu.enable-hibernate.pkla' file and restarting) you get Hibernate menus in most places, including one the System Settings > Power panel, but for some reason it is only available for critical battery scenarios, and not for lid closing.

I expect to be able to hibernate my machine when I close the lid and the power is unconnected, or when the power becomes unconnected when the lid was already closed.