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".
GRILLADE, noun, feminine A. The act of grilling. "One also had to endure the smell of the kitchen, the heavy scent of wine in the sauces, the nauseating grilling of onions in the frying pan" (HUYSMANS, Marthe, 1876, p. 62).
http://stella.atilf.fr/Dendien/scripts/tlfiv5/visusel.exe?12...
Also anecdotally as a French native, grillade = meat for me.
However what's discussed here is a case of legislators deciding what shape language should take, not usage !