Ah, that's because the global box only really affects the objects at runtime. When you run the game, the objects will appear, but they don't appear in the editor.
As for a workaround, you should be able to just copy the map objects (platforms/floors/walls/player spawn points/enemy spawn points) and then include an event sheet for the engine. They will then behave as normal and you don't need to copy and paste as many objects.