The feeling you MUST be constantly productive at all times is a recent invention of our industrial societies. The majority of the world's people are much more laid back. Take a little more time to get a project finished. Oddly, your productivity will increase. If you are a firm of one, promote your one-ness to the world.
Every customer wants to feel like they can talk to the person in charge.
That's never a problem for people who do business with you. Think of all the big corporations that strive to be identified with their founder. Microsoft has Bill Gates, KFC has the Colonel, and Wendy's has Dave. They spend millions to insure you identify their mammoth corporation with a single individual in charge. Get over the idea that TV is bad for kids.