We've been a nation at war for the entirety of zoomer's lives until just a couple years ago. Who does the OP think is fighting in those wars? It was Gen X & millennials, and then zoomers.
No, the reason she used "storming the beaches of Normandy" and not idk, "the beaches of Da Nang", is because Normandy is associated with the beginning of a turn in fortunes of that conflict which ultimately led to Allied victory. Nobody would fucking care about Normandy if the Nazis won.