Yes, thats right. I made the same mistake when buying a game with the sticker "pin's gratuit" on it, hoping to get a pin of a Lynx game.
Instead, I got a "Lynx" pin. Not too bad either, but I have already some of them...
There were official Lynx Pins in France, but I think the ones surfacing in the last years are 3rd party after market items, because the quality (painting) of them is lower than the original ones.