To give you a jumping off point, I will point you to the Book Civilizing Emotions: Concepts in 19th Century Asia and Europe and to the Max Plank Institut and their research centre that is specifically addressing this question. https://www.mpib-berlin.mpg.de/en/research/history-of-emotions

The book looks at the control of emotions and how it was an indicator of a peoples' level of civilization and how it was used to justify imperialist civilizing missions.

In addition,(not related to book above work) the successful establishment and maintenance of trade networks relied on emotions like trust and friendship when dealing with people from other regions of the world.

This is taken from the intro on their front page.

"Special attention is paid to institutions that have a strong impact on human behaviour and its emotional underpinnings, such as the family, law, religion, the military, the state. Equally important to the Center´s research programme is the historical significance of emotions. Emotions are said to motivate human action and thus influence social, political, economic developments."

This group of historians definitely feel like emotions play a prominent role in historical development, but it is hard to answer your question. Perhaps you can elaborate a little bit more on the question though.
Certainly emotions will have an impact in some cases and would not really be a useful tool in others. There is definitely no answer to "should" questions. It only influences as much as it influences and it is dangerous to make a normative statement about how much anything should influence history. Although it is ok to argue that more attention should be put upon the study of emotions because sources point towards their importance.