Taking a break can have positive impacts on productivity.
When I was at school I the teachers told me to take breaks between periods of revision for exams, the idea being that the brain given the time will retain the information learnt more effectively. As a top regional athlete my coaches advised me to take rest days each week to allow my body to rebuild after the strains of intensive training.
Rest days are good to recharge your batteries, to allow your body and mind the opportunity to renew itself. Even amongst sources advising how to de-clutter is the advice to take regular breaks.
Burn out is probably one of the worst results of overdoing anything, the rules of sustainability are as relevant to the human mind and body as it is to business and the environment. You need time to renew your mind and body through regular rest periods.
I notice that after being away from blogging a period of time how bubbling with ideas I am on what to write about on my return. After a few weeks of posting once a day I start becoming less effective in my writing. I am going to experiment with rest breaks across many areas of my life. Around the third week of each month I shall take a few days off from blogging to see how this impacts my writing.