Three phase AC can make a rotating fault, which is similarly difficult to quench. While any one phase voltage will go to zero periodically the other two phases still have voltage on them. They all take turns feeding current to the arc's plasma cloud, keeping it hot.
The one benefit to a rotating fault is if there's a zero-voltage switch in each phase ahead of the fault, they can kick out when their respective phase voltage goes to zero. Eventually all three phases will shut down.