In the low-carb diet you are mostly replacing calories from carbs with calories from fat. Not sure why they are focused on this carb to protein ratio.
> "The traditional Okinawan diet is therefore dense in the essential vitamins and minerals - including anti-oxidants - but also low in calories.
[...]
For this reason, some scientists believe that Okinawans offer more evidence for the life-enhancing virtues of a “calorie restricted” diet."
Well, the benefit of low-carb is that you crave less food so naturally "calorie-restrict" relative to a high carb diet. So if they are accomplishing this another way it all makes sense (they mention some genetic factors in tfa).