Let's say FB does such a move. And let's say that it's such a wonderful tech that only FBI has access to those messages. You know what will happen next? Criminals and those child molesters that Barr uses as Boogeyman will simply create an app that will have E2E encryption without any backdoor. Unfortunately for Barr technology is here and it's easy to use it.
Why would a child sign up for an E2E app where it’s easier for paedophiles to anonymously groom them? Sophisticated organised criminals don’t use Facebook Messenger, but this article isn’t about them.