Even if it has shelves, just by thinking about how one gets the jar of jelly out from the back of lowest shelf makes my back hurt.
Also, it doesn't have to be a wheel, maybe just a bunch of hanging shelves on a movable track. If it were a track, you also wouldn't need such a large cover, you could get by with a cover just large enough to access 1 compartment on the movable shelf. Advanced fridge shelves could operate like tape backup systems -- type in "milk" and it rotates the milk compartment to the access cover.
With the microcomputer, it could also keep track of access times of each compartment and ping you when it thinks a compartment has food past the expiration date. With the rotating fridge compartments, you could also have weird fridge layouts that still maintain energy efficiency -- maybe a tall and skinny one, but there is a loading bay at the user's height level.
Maybe I'm overthinking this...