Which Diet Is Better for Losing Weight and Reversing Diabetes?

What diet - low carb high fat ( LCHF), "everything in moderation" with a low GI, or Dr. Mosley's 800-calorie diet - is most effective to reverse type 2 diabetes and lose weight?

Three people - obviously not enough to get a scientific answer - got to try it on "The Saving Australia Diet" show. Recently they had their final checkup, after three months:

Yahoo News: The Saving Australia Diet: Final Check-Up

They were all successful in lowering blood sugar and weight. The semi-starvation diet (800 calories per day) was not surprisingly the most powerful for weight loss, but Tony on LCHF - without calorie counting or hunger - did almost as well. Here are his before and after results:

On top of this he managed to get off one of his diabetes medications entirely.