Being somewhat a yoga devotee I'd like to weigh in here. The relationship between yoga and weight loss is very complicated. No matter how you label your yoga it is not going to be high on calorie burning and you should always still do other workouts (strength and cardio). However yoga does help mentally, spiritually, physically you sleep better feel better etc. It also can help with emotional eating and body awareness.
Anyone selling "their" yoga for weight loss is not being forthcoming. I have done daily yoga for years and it does not directly impact my weight at all.
Fitday start date 12/9/12
Fitday start weight 190
Highest weight Jan 2009 218
Lowest weight Aug 2009 175
Goal 160: ACHIEVED Aug 25/13 (now to figure out how to stay here)
If you do what you’ve always done, you’ll get what you’ve always gotten. –Tony Robbins