Total lie
Person can survive without carbs because our body is capable to absorb nutritions from meat based products . Basically modern doctors say vegetables and fiber based food put lot of stress on digestive system . Plus person don't need to workout to lose weight its all about food . But workouts helps to keep the metabolism which falls to things like stress depression hormones balance . Above person used correct way to lose weight . Losing weight is 100% food . But cardiovascular workout make it faster but not mandatory .
It all comes down to the reason behind losing weight. Of course you can just not eat and lose weight, weight is essentially the fat, muscles and water you get from food, nothing more. However, it's reasonable to assume that what you want from losing weight is to stay healthy. That won't happen with a non carb diet. You'll lose weight and it'll help get the body shape you want, but you are not going to be healthy. Same goes for exercise. Without physical activity, you're going to lose muscle tone and energy quite soon, especially if you let go of usual human movements like walking, running, exerting arm and leg muscles etc. Just ask a person who was bedridden after an accident etc. You keep talking about losing weight again and again, but my point is that it's not good for you in the long run. Always make sure to understand the point. If you just want to lose weight, not eating at all is the best way. 
