No, because the switching stations have a reserve of batteries that are fully charged. These batteries will be dispensed. Of course, they will run out, just as in Florida when the hurricane came in: after a while you don't even have liquid fueling stations.
The benefit of this type of network approach is that working with Hydro Québec, or PowerStream or Veridian in Toronto—with those types of utilities—you can actually make the grid more stable, because of the buffering of renewable energy and the ability to store, not just balance, load, and generation.