The purpose of Judas' Noose was to keep Judas alive, not to ease his suffering. I still think the noose responds proportionately with the severity of the wound. It wouldn't heal a stubbed toe.
I wonder if the noose even heals. Or does it just keep the wearer from dying and Anduriel does the healing. Thus, when the Sword kept Anduriel at bay, he could heal Nic.