As a T1 I embarked on a low carb programme in September and it was accompanied by resistance training (and not cardio).
I was mildly overweight (BMI around 25.5) at 100.2 kg and had a body fat level of 25%. I am now 89.3kg, have a body fat percentage of 12%. To get to this point, I go to the gym three to four times per week and do resistance training in supersets that creates a HIIT effect. I eat 30-50g Carbs a day. I lost weight in roughly three months and have kept it off while trying to build muscle.
I do throw in a cardio session once per week, but that's not the focus of my training.
My girlfriend has been doing the same programme and has in the time period since late September lost 16kg. She eats lower carb than I do.
The key thing is to control calorie levels. I eat 2000 cals per day roughly, and when I want to cut fat, 1750. She eats 1500 a day and still believes that she needs to lose weight.
What I'd say is that the resistance/weights work is far more efficient when done properly for weight loss than is Cardio. Cardio helps, but it is the weights that really drive you in the right direction. As one of the trainers at the gym says, weight loss and leanness is achieved 10% in the gym, 90% in the kitchen.