Of course, that's not these English words that will be banned, since it's in France. The French word is "grillade". This word is used to define any meaty product that you'll cook on a barbecue. Sausages, skewers, etc.
In my country if you use Google translate and order grilled cheese in a restaurant the server will watch you weirdly and maybe after some hesitation will give you a plate of melted cheese
In my country (english speaking) I think many people would be confused if you asked for a "grilled cheese" because they aren't called that here (it's usually called a toasted sandwich or toastie)
In my English-speaking country which is fucking called England you'd only get away with saying grilled cheese if the sandwich context was already clear. Toastie here, too, or, if you're old enough, Breville.
next time i see that post on mildly infuriating where someone ordered a grilled cheese [sandwich] and got melted cheese, i will also become a grammar nazi like all of you guys