Emotional independency is more than not depending one’s own emotions on other people, I think. Emotionally independency is about being able to completely disregard your mood and your emotions, and thus make decisions based entirely on your principles — not the way you feel in the moment. Very important for productivity, succeeding in business and probably all aspects of life.
Put in better words: «The ability to perceive your emotions, clearly identify them, understand them, control them, and use them to assist thought. The ability to stay focused when confronted with emotions and remain in control.» Source
