Denise Minger sums it but you should read the paper at the bottom of the post

http://www.thepaleomom.com/wp-content/uploads/2015/05/Ketogenic-Diet-Literature-Review.pdf

http://www.nutritionandmetabolism.com/content/11/1/23

This paper and others emphasizes the predominant role of Caloric Restriction.

http://journals.plos.org/plosone/article?id=10.1371/journal.pone.0100652
We cannot recommend LCHF diets on the basis of clinical studies in D2, MS or normal subjects.
It seems more evidence based to recommend CR and med diet with low carb in adults regardless of what they want to improve.