Luxury and hatchback describe different things. Luxury usually refers to a vehicle's positioning, materials, equipment, and experience; hatchback describes a rear opening that typically lifts with the rear glass. A conventional luxury sedan has a separate trunk, but an upscale vehicle can also have a hatch or liftback. The categories can overlap.
A useful comparison therefore separates cabin qualities from body packaging. Consider how the luggage opening works, which seats must remain occupied, how passengers experience the cabin, and which features are actually fitted. Neither a premium badge nor a hatch establishes the winner for every trip.