Earlier quoted context omitted.
I wonder whether your coworkers enjoy being interrupted frequently.
When working on a project that needs to be extremely reactive and accomodate functionality at short notice often requires quick, on target communication. If my coworkers aren't able to communicate quickly, and efficiently with myself and the other team members then the project will lose agility. Often we will have tasks that require not being disturbed and in the stand up meetings we flag this.
I would also argue that if your project is being that reactive that it should be considered an anti-pattern, and that you should examine ways to make things less chaotic (erm, I mean, "agile").