Not necessarily - the game engine code is also independently copyrightable separate from the story the game is going to tell. Writing a completely different game using that code - even if you just distribute level files - might still be an infringement. The analogy given by the EFF also doesn't match and is subtly wrong. The unique character would still be made out of game assets you do not own; however, compilations of specific copyrighted works can be independently copyrighted without being considered a derivative of their components[0].
That being said, the EFF's amicus brief is really good and I agree with all of it, so I'm obviously expecting it to be shot down by a court system that consistently insists on treating copyright as a federal contempt of business model tort. Remember, it took Google like a decade just to get Oracle off its back for the crime of stealing... 30 function declarations. No actual code, just names and argument types.
Anyway, do we know what Oracle was actually suing Rimini for?
[0] e.g. that one bloke who copyrighted his MTG deck to troll the Copyright Office