Its possible to design internal structures such that its easier to use as a Fridge and freezer with some loss of space to avoid having to reach down into it. It would waste space and some efficiency however, the more complicated it becomes with assisted lifting and such the worse the gap would become. But the problem is often space, a lot of kitchens do not have 2x the floor area to be putting in chests making them good for secondary storage somewhere else but not a primary kitchen appliance.

There is no doubt its better thermally just because cold air falls out the front of a normal fridge/freezer and huge amounts of energy are wasted everytime you open the door. A chest design looses considerably less of its cooled air but its also a lot more awkward to use and ends up less floor space efficient.

Perhaps the solution is to rethink the role of the fridge in the kitchen. It could be designed to be a part of a kitchen island, or have cabinets placed above it. In conventional kitchens, a chest does not make sense. But it could be well integrated if we start with the assumptions the fridge will be a chest.