This is unbelievably stupid.
(1) Supersonic airplanes get incredibly hot, just by flying. Largest battery fire the world has ever seen?
(2) It would be impossible to manufacture.
(3) It would be too heavy to fly.
Quite. Even Concorde's inner windows were hot to the touch at the end of a flight. The wings would be extremely hot. They even used the fuel as air consorting heat transfer fluid, in an interesting design choice.
I don't believe he was intending the plane to fly supersonic. Instead he was talking about using the design of the wings because they have a larger volume.
What's the use of a supersonic plane that doesn't fly supersonic?
Edit. It's unclear what your defence of the concept using this tactic achieves. The whole article talks of this as for supersonic flight. There are fewer issues with subsonic flight for this idea, though many (see above and below) remain.
The wings of a wide body aircraft would have larger volume, the wing surface area of a 474 is about double that of a concord, the A380 is nearly triple.