I'd translate "Ludus Latinus" as something like "Latin Practice," in the same sense you'd say "soccer practice" or "piano practice" or something like that.
It is a game, in the sense that it's not the real thing, it's practice for later doing the real thing -- it's a structured, goal-directed game with a particular practical outcome in mind (building Latin skills), not a "let's go have fun in the park without any particular motive other than having fun" kind of a thing.
It is a game, in the sense that it's not the real thing, it's practice for later doing the real thing -- it's a structured, goal-directed game with a particular practical outcome in mind (building Latin skills), not a "let's go have fun in the park without any particular motive other than having fun" kind of a thing.