you're projecting. i'm an overachiever myself and just because i browse 4chan while i'm eating sometimes and when i'm relaxing doesn't mean i'm not productive and proud of my achievements. part of striving for your goals is learning how to strike a healthy balance between focused work and relaxation, such that while relaxing your mind is working in the background on problems and when you go back to focused work you pull it all to the front and give the back of your mind a rest.
i mean it's not easy to train yourself to do that, but i've learned to out of necessity because i simply have too much work to constantly stay focused around the clock. i find that i am much much more productive by giving myself at least an hour or so on weekdays to just stop thinking, and quite a bit of time on weekends.
see: gh hardy, who did 4 hours of active math a day and spent the rest of his time on cricket. it's not as though his brain wasn't working during the "off" time.