What makes you as a human more valuable than other animals is your ability to communicate. As if your have everything muted you are making yourself less valuable. The ability to focus without distraction for short periods is okay, but as a human you need to be available to communicate with others the vast majority of the time.

You will get less done in total, but what you do get done is so much more valuable to humans as a whole that it is worth the loss of focus. It was a real mind blower when I realized that, I still get frustrated at times with my inability to get hard things done quickly, but in return I get much more important things done with the help of others.