I imagine a folding rake would be like a folding shovel to use. Easy to store and difficult/PITA to use...
Stuff like Cyclone brand, the timber handle is a press fit into a socket with a retaining screw. 10 seconds to remove with a screw driver, handle in the pole carrier and head in the toolbox. Take a spring steel leaf rake head and a nail type garden rake head for best of both worlds.