It's common for people in Queensland to refer to rugby league as "football" and "footy". I always refer to it as "football". It seems to really anger the soccer fans, so I make a point of doing it regularly.
English fans loathe the word "Soccer". Many wouldn`t know it derives from "association", they just see it as an Americanism.
RU never got proprietorial over the word "football" in "Rugby Football". The name of a top independent school suited them fine.
Treizistes are hopelessly encumbered by nomenclature. They`ve never got over the fact that they were on their way to eclipsing RU pre-war and have fought tooth and nail to own or use the word "Rugby" ever since. Forcing them to say "Jeu a Treize" post-war only made them want it more.
Whether it`s "game of thirteen" or "Rugby of thirteen", fixing your whole identity on the number of players in a team is doomed to fail. Most French people don`t know RL exists. No wonder, when our French friends insist on making themselves invisible.
Most of the French women`s comp is 9s. Which means it`s "Rugby a Treize a Neuf".
The only Elite 1 club I know of who have Rugby League in their title is Albi Tigers. All the others are XIII.