Muscle burns an inconsequential amount of energy -- 6-10 per pound depending on sources. So if you were somehow to gain 10 pounds of pure muscle, you'd have enough calories for a small apple per day (60 cal).
How fast can you gain 10 pounds of muscle? In an 18-week weight training programme, a group of men gained 4.6 pounds of muscle: http://jap.physiology.org/content/82/1/298 -- most of the gain in 8 weeks. So I would imagine increasing your lean mass by 10 pounds (just to be able to eat an extra apple a day) would be quite an effort.
One study: http://www.ncbi.nlm.nih.gov/pmc/articles/PMC3139779/
So considering SOLELY weight loss, ignoring calory deficits from diet changes and focusing on building up muscle mass does not seem effective. Instead of building up muscle mass for a 60Cal deficit via BMR increase, take a 600 Cal deficit via diet and lose the weight in 1/10th the time.
Once again, everyone wants to boil complex, intricate body and mind mechanisms down to "do this, don't do that." It's absurd. These are sophisticated systems full of roll-on cause and effect, tolerances, etc. not a toaster.