Based on my research, knowledge, education, and experience, I say absolutely, but I respect that there are some who would disagree based on intention. The foundation for my response is what is found rooted in Transformational Leadership with the applied concept that no matter what role you hold within a team or organization (whether as leader, peer, or follower [Maxwell, J, 2006]) having an acute awareness of others will only benefit the overall objective. An article I think you would find helpful (Tucker, Turner, Barling, Reid, & Elving, n.d.) states, "looking beyond self-interest for the good of the relationship, thus embodying many elements of transformational leadership (i.e., inspirational motivation, idealized influence, intellectual stimulation, and individualized consideration; Bass, 1998)” (p. 196). The notion is that when success is determined as a synergetic group element, not merely personal gain, it requires a considerable degree of attention to others emotional responses to situations, operational tempo, and your own behaviors and decisions.
Those that would oppose my view, may state that too much attention to emotion and personal effects would detract from goal accomplishment, but that is only if TOO much attention is averted away from the task. A healthy balance of both goal defining and the application of emotional intelligence and/or awareness is the recipe for genuine success. How I define "genuine success" is accomplishing a goal without sacrificing the well-being of those around you (teammates, customers, community, etc.).
There are several concepts within leadership that address the awareness of emotional valance, such as the aforementioned plus servant leadership. I'd quote all they say regarding the matter, but it would not do any justice especially if you are looking at the application within a specific area you are working. Hopefully this is a good start. I'm excited to see what others may have to say.
the following reference will give you clear picture.
Druskat , V . U. , Wolff ,S. B. (2003) , Emotionally Competent Group Norms and Group Effectiveness , Paper Presented at Annual Academy of management Conference , Seattle