Though not sure if it will save battery...
Had a 16GB iphone 5s which I never turned on recording, coz it didn't have space to store... but still went through 40% battery in 15min flight.
Changed to a very slightly newer iphone 6, which I record to, and it drops less than 10% in 15min flight.
Maybe just the age of the phone/battery? Many topics on extending phone battery life out there!