It's not about weight loss, it's a misnomer of logic. It's about altering your body composition. You want lean mass. Resistance training builds lean mass. It's a transformation process, be patient and committed.
SmokeWillow doesn't mean to literally exercise in a fasted state, but to ultimately expend more than you consume, i.e. a net loss in calories.
You can workout like crazy but if your nutritional habits remain unchanged, your appearance will barely change. Internally you will be more fit.
They have to go together. It has to be a lifestyle change. Basically, Eat what you want, just don't go beyond your TDEE.
You have to do some research and figure out what your basal metabolic rate is, and your daily expenditure so you can find out how many colors you need, and stick to that.
You can add cardio if you enjoy it, you should. If you focus is resistance training I still recommend the NSCA recommendation which is basically an hour 3days/week. That's a spin class and 2 zumba sessions. Or a game of ultimate frisbee, whatever you can do. You gotta build a strong heart that will last you into your eighties, nineties, and beyond. Cardio helps lower bad cholesterol, it's amazing.