Nah, I'd disagree with that. Unlocking variety doesn't change the core loop like power progression does. One makes the game more diverse, and the other makes it easier. Otherwise you'd say that a game changes from roguelike to roguelite just by adding DLC.
You hold A and press Start to continue from the beginning of the last world you reached. Maybe it was in the instruction manual, but most Mario games allow you to continue more intuitively than that.