With that being said, it doesn't matter if you have 50 lbs of extra fat on you or 5 lbs of extra fat on you, the requirements for fat loss in each case are still going to be the same.
What do you think will work better for muscle preservation during a calorie deficit? Lifting weights as heavy as possible? Or spending an our on the treadmill? Guess what? Studies actually show that fat loss is greater with athletes who weight train as opposed to doing aerobics.