So, this still allows your valuable zoned-in session to continue and also reminds you that it is time for a break. Taking breaks increases your productivity, in overall, across time. Mainly because you save yourself from the huge dips of exhaustion caused by pushing your organism over its limit. Your body will strike back, believe me.
That is an interesting approach and you might actually be an outlier. However, in a generic context, the idea is that someone needs to take breaks to minimize the risk of exhaustion and other medical problems and it does make a difference in someone's overall productivity when they do not push themselves too much. So, to answer your original question "why would someone want to interrupt their workflow" the answer is: In general, even if someone loses a few of their valuable zoned-in epiphanies, they gain an overall well-being and retain their health, which makes them be productive all year-round.