I think it was Eugene Peterson who humorously (or sadly) described most pastors as "quivering masses of availability." Unfocussed, needing to be needed, solvers of other people's crises, reactive versus proactive, addicted to the urgent and neglecting the important.
In talking about this condition with a friend of mine, he challenged me to a third path; strategic availability. That means being open to interruptions but free to step away from busyness. It means keeping a part of my day, time, energy open to a new person, sometimes a contact that I initiate and sometimes not.