There is a reason why fibers don't bend much. If you bend them too much, they stop carrying light. In other words the amount of light that they can transmit is dependent upon the curvature of the fiber. For an experiment, take a fiber and keep it straight. Put one end on a light source. Take the other end and start bending the fiber. Notice what happens when the bend gets too extreme. The fiber quits carrying light.
In addition the type of plastic that is used for fibers is quite brittle, this is due to its optical properties. If you make the plastic softer, it will no longer carry light.
Fiber optics are much like a water hose, bend it too much and you get a kink, which stops the flow of water.