I think there is a big difference between fat loss and weight loss. I can only speak from my experience but when I lifted heavy using the Gym Style series, I struggled to lose weight. I ate clean, increased protein intake, etc. making sure not to lose any muscle. And, I could feel the difference that weight lifting offered. But what I really wanted was to lose weight, not just fat. At 5'7" and 155 lbs., I didn't look like I wanted to look: lean and toned. I got so fed up with the lack of the scale moving regardless of the muscle gains that I just wanted to lose weight. And with that, I also lost lean muscle tissue, but honestly, I didn't care. The scale moved and continues to move. Now, I'm 20 lbs. lighter and much happier and confident with myself. I know it's sad to have a number on a scale validate/reinforce my feelings, but for me, being 135 lbs. lean and toned makes me feel so much better about myself than 155 lbs. Now, I'm heading back to the Gym Style series for more muscle-building but at least now I can see the muscles instead of being buried underneath 20 lbs. of weight.
The point is, there is a place for muscle building and weight loss. I've never known anyone who can do this at the same time. I think you need to focus on one or the other but not both. That doesn't mean to say cardio shouldn't play a role during a muscle building phase or that weights shouldn't be a part of a weight-loss program but to do both at the same time, I think you're just spinning your wheels, especially if weight-loss is your goal. Just my humble opinion.