Additionally, a break might be an opportunity for your mind to continue working on whatever it was you left off with, whereas an interruption explicitly redirects your attention to another topic.
When I’m deep in the weeds on a task, stepping away for a walk in the park, a workout, or to prepare a meal or some coffee, affords me the opportunity to clear the micro details of the task from my mind while retaining the macro at the tip of my attention. This state is very frequently where the best insights on the task emerge, whereas an interruption resets both micro and macro attention entirely to something else.
These breaks were taken at a "natural" time, when you felt one was needed. By definition, an interruption is a "break" when you don't want one.