Okay, you are talking about the total surface area being 7 hexes (2/3/2), which is not the diameter. Sorry, the way the terms were being used worked for a meaning of a 3 hex radius around the central hex for a diameter of 7 hexes.
He repeatedly said 3 hex diameter or "3 hex across" which is synonymous with diameter, which would cover an area of 7 hexes. He never once mentioned radius.