I've followed along for long enough to understand and to believe that Patriots are in full control. I doubt this would have been allowed to happen if it weren't part of the Plan - it'll certainly redpill a lot of Frenchmen.
There are rumblings that at least some of Notre Dame's treasures were saved prior to the fire. So I'll assume that means that most/all of them were, and that this is all part of the movie.
So the obvious question: what did the Cabal have in there that needed to be destroyed?