I would like to submit a fifth category that's a little more specific to game worlds like homebrew dnd settings, The Engineer. This archetype uses mechanical systems as a scaffold of the world, then builds characters, stories, and lore to support or be supported by those systems.
My personal example was an idea for a worlds that had harnessed elementals and primordial elemental magic to spark an industrial revolution, and bridge massive distances with transit systems never seen before. I figured out how the magic and transportation worked first, then built the rest of the world around it. Idk, maybe that's just me.