Yep, I'm with your husband on this, it looks decidedly odd. And frankly impractical.
If your DH wants it to be better he should rethink his objection to removing the radiator. Cast iron is a bugger to move (we had to remove several from our house) but it it can be done with the help of big burly friends and the offer of a beer. Or could it be worth contacting a salvage yard and see if it would be worth it to them to take it away for you? With that out of the way, you have more free wall and can put in a more efficient/smaller radiator where it would suit best.
You have a freezer in the basement, so do you really need a fridge-freezer in the kitchen? Would a fridge-only be sufficient? That would fit under the worktops, making the room look more spacious and freeing up wallspace. If you want somewhere to 'stick things' at eye-level, a noticeboard (maybe on the basement door?) can do the job just as well.
Why are you insisting on a round table in the middle of the room, if it is a small room
? I used to have a kitchen about the size of this I think; I had a drop-leaf rectangular table which could be pushed up against the wall (where the radiator is now?). I could put one leaf up to seat 1 or 2, or pull it into the middle of the floor to seat 4. But the majority of the time it sat neatly to the side, allowing the small space to be used more effectively.
This design does not look to be giving you a full-depth worktop - will half-depth be sufficient? I have a half depth run in my current kitchen, four narrow units long; it holds the toaster, breadboard, jam jar, butter dish, knifeblock and breadbin. Absolutely no space for anything else. Where will your kettle go? Where will you prepare food?
Personally I would go for an under-counter fridge only and have a full-depth worktop over that part of the kitchen. I'd also rethink the radiator and the table.