> "grill" in France is used as an anglicism, ie. words imported straight from English, with the meaning sometime distorted beyond recognition

That’s not that simple. The English word "grill" comes from the French "gril", a word that has been in used for more than a millenary. Only the orthography "grill" with two "l"s comes from English, but the rest is plain old French. It also makes sense: "gril" comes from "grille", which also gave "griller".