I believe that you have misread that article - it says the exact opposite to your conclusion here. The answer is in the article's title, "
Intermittent, Low-Carbohydrate Diets More Successful Than Standard Dieting, Study Finds.
Note that the article quoted is about research by Dr.Michelle Harvie into intermittent dieting which was the basis of the Dr.Mosley's conclusions in the BBC documentary you cite in the OP.... and also, as per this article as well, "An intermittent, low-carbohydrate diet was superior to a standard, daily calorie-restricted diet for reducing weight and lowering blood levels of insulin, a cancer-promoting hormone, according to recent findings."
Read the article again. On the subject of carbs, it suggests not "just cutting carbs" but a 2/5 intermittent diet where, instead of 2 low calorie days, they substituted 2 days of low carbs.
Again, the finding was that the intermittent approach was superior to the "standard" calorie restricted diet.
The paper I've found by the author
in pubmed seems to reach the same conclusion as you in that :
IER [intermittent energy restriction] is as effective as CER [continuous energy restriction]with regard to weight loss, insulin sensitivity and other health biomarkers, and may be offered as an alternative equivalent to CER for weight loss and reducing disease risk.
Whereas the article you cite and
subsequent articles quoting the author conclude that;
Intermittent, Low-Carbohydrate Diets More Successful Than Standard Dieting, Present Possible Intervention for Breast Cancer Prevention.
Emphasis being that the intermittent part of the dieting is the critical factor.
Cite from the WCRF who funded the study :
http://www.genesisuk.org/media-centre/articles/Intermittent-diet-research.html
Oddly, that article refers to the Pubmed paper I found - but the conclusions in the pubmed paper are not the same as the subsequent articles released by the author.
The low-carb 2 day diet promoted by the author can be found here.
http://thetwodaydiet.co.uk/