Whoever did these measurements obviously doesn't have a good understanding of circuit design. That or Sony is atrocious at simple circuit design, but I find that hard to believe.
The claim is that the LED(s) draw a constant 40-50 mA more when on than off. That's cool and all, but no intelligent designer will design it that way. There's a little concept called "persistence of vision" that plays a big part here. At a certain point, the human eye can't distinguish between when a light is blinking or constant. Because of this, any smart designer will integrate a timer that will pulse the LEDs with short "blips" such that it looks constant to the human eye. If you looked at the LED with a high speed camera, I guarantee it blinks. Without doing the math, I'm guessing the summation of the current draw, over the life of the battery, is 75-90% less than the constant 40-50mA that is being claimed here.
Ask yourself this: Why are there so many LED flashlights and toys on the market that use tiny batteries, but yet last for days, months, or even years? Hmmm... maybe because they use timers to exponentially increase the battery life.