By "moveable back" do you mean backrest angle or distance to the pad you are pushing off of?
As a joint reaches full extension, the muscle acting on that joint gains influence. To illustrate this, see how much weight you can leg press starting with your knees near your chest, then again starting the lift with only 15 cm till full extension. you will be able to lift much more weight in the second position. the second position opens up both knee and hip angles allowing the muscles more influence over their respective joints. Assuming you weren't already doing this.
This is part of why short cranks work so well. They maintain the forceful range of motion while skipping the wasteful ranges of motion.
now, looking at the back end of the pedal stroke (which independent cranks train nicely). Muscles that flex (close) your knee and hip joints only allow so much range, and as they reach their limits, they loose influence over the joint. So, getting your pedal "over the top" is usually accomplished by your other leg forcing it over. This saps energy as your feet are in a tug-o-war of sorts over which direction to turn the pedals. Now, what if there were a way to get rid of the part of the pedal stroke that your flexors can't pull very well (if at all), and go straight to the part of the pedal stroke where your extensors can contribute the most force. oh wait! there is!
for those who are worried about losing leverage with short cranks, consider this. With arch mount cleats on 145mm cranks, in the 3 o' clock position, the ball of my foot is in the exact same place relative to the center of the bb as yours are with the cleat on the ball of your foot with 175mm cranks. I have about the same amount of toe overlap despite shortening the cranks nearly 3 cm. Also, I don't have to use my calves to stabilize my foot, cleat position does that for me. I prefer to save my oxygen for the muscles that actually more me forward.