I agree, there is definitely something to be said for "unproductive" communication. But I would change that to: It can potentially drive creativity. I've been in plenty of office environments where it was far more just a distraction.
I wouldn't say usually but you are correct. "Unproductive communication" is not always easy to distinguish from a productive one, but most of the time the distinction is clearly obvious.
Don't overvalue it, either. Some people have innate creativity.
if you have innate creativity and you aren't inspiring others, then you are just interchangeable, no?