one can manage resources and time. However you cannot manage people. They will do what they want to do when they want to do it. You are not managing people, but departments, divisions, stations, sites, projects, etc. People are all involved in that and the challenge is to encourage, inspire, motivate those people to most effectively utilize the time and resources necessary to accomplish whatever the end goal is.
So using emotional support as part of a strategy to encourage, motivate, and inspire those who work in the department you manage isn't a bad way to go as it often shows those who work for the company that you as a leader (not manager) are empathetic enough to show concern about their well being.