In the end the timer does reach 00:00, but as for the Faces activating across the continent, I wonder about that, they could have been stopped by the other groups of mages active trying to avoid the nullification of magic across the continent or Lumen Histoire could be used to counter the effects of the Magic Pulse Bombs. Regardless, you got to hand it to Kyouka, she gave it her all to make sure the timer ticked down and actually did succeed in buying enough time, though I do wonder if the Faces will really activate, after all they may be met with an Error 404 O.o.