That’s my point. You wouldn’t have.
Even with ATC contingency procedures in place for such an event, when it happens it is unexpected. The stacks would rapidly fill and the majority of the traffic would have to divert anyway due to fuel issues.
in a Radar environment a conservative 15 inbounds per hour can be easily dealt with. In a procedural environment the last aircraft could be looking at a 2 and a half hour delay.