Do you think short hair in men is considered being under society's control, such as in military or prison?
No, it is more for their comfort.
Comfort
Comfort (or being "comfortable") is a sense of physical or psychological ease, often characterized as a lack of hardship. Persons who are lacking in comfort are uncomfortable, or experiencing discomfort. A degree of psychological comfort can be achieved by recreating experiences that are associated with pleasant memories, such as engaging in familiar activities, maintaining the presence of familiar objects, and consumption of comfort foods. Comfort is a particular concern in health care, as providing comfort to the sick and injured is one goal of healthcare
Long hair
Long hair is a hairstyle where the head hair is allowed to grow to a considerable length. Exactly what constitutes long hair can change from culture to culture, or even within cultures. For example, a woman with chin-length hair in some cultures may be said to have short hair, while a man with the same length of hair in some of the same cultures would be said to have long hair.
Males having short, cut hair are in many cultures viewed as being under society's control