That's not correct. You don't have to register a trademark in order for it to be protected, it's just recommended because if you do register it you don't have to separately prove that you have built up brand reputation. That should be pretty easy for a project as old and well-known as this though.
Thank you for explaining this to me. That makes total sense!
You're correct.
In very, very broad US-centric* strokes: Using a mark in trade is enough to establish a defensible trademark.
Registering a trademark can be useful, but it is also optional. At very least, registration helps make the ownership of the mark easier to discover and this can help everyone start on the right foot.
(* I'm not familiar at all with the laws of France, but that's fine: The alleged violation happened in New York.)