There's an old saying: "If you want something done ask a busy person." Busy people always come through for you. I used to think this was because they were super efficient, super disciplined. But maybe your task is a welcome distraction from something even worse? And besides, everything we do is a distraction from the most looming, vaguest, most intractable deadline of all. The End.
I also used to think this when I was working in hourly task units like software development or consulting. Then when I started managing people I realized that being less busy while being efficient and organized was better. Flexibility is a great asset. I am not talking about working 4 hours but having room to think outside your daily or weekly issues.