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.
I think so too. When it comes to hair style comfort is the priority in my opinion. They should not feel uncomfortable
Some men like long hair for beauty reasons and some like short for same reason.
Hairstyle
A hairstyle, hairdo, or haircut refers to the styling of hair, usually on the human scalp. Sometimes, this could also mean an editing of facial or body hair. The fashioning of hair can be considered an aspect of personal grooming, fashion, and cosmetics, although practical, cultural, and popular considerations also influence some hairstyles. 
The oldest known depiction of hair styling is hair braiding which dates back about 30,000 years. In history, women's hair was often elaborately and carefully dressed in special ways
considered a mental disorder or the hallmark of one; it is sometimes used as a synonym for lateral thinking. 
Examples.
- "The next day when I'd be going out you know, I took control, like uh, I put bleach on my hair in California."—given by Nancy C. Andreasen
- "I think someone's infiltrated my copies of the cases. We've got to case the joint. I don't believe in joints, but they do hold your body together."—given by Elyn