And here is the cell phone from the front:
Since the series takes place in a world where espers are common and tech is about a decade ahead of the real world such issues as durability and surviving children have probably been solved. Unfortunately for us, the need for surviving real world situations could greatly influence whether consumers feel the need to have and use flexible displays such as these.
After all, remember the rash of cracked iPhone screens? How would a flimsy piece of plastic survive?