Band of Brothers clip in question.
Aside from the overwhelming feeling of guilt one might place on themselves for not being able to fight for their country in a time of need, I've read several accounts of stigma against males who didn't go to war for any number of reasons. I wouldn't be surprised if this burden would lead some to commit suicide. Examples...
Nobody wanted to date these boys who didn't pass their physicals, and we called them "f-Fers." Now that I think back, that was terrible. . . We all thought they were physically unfit to go and fight for our country. How awful! - Sylvia Iwanski Chalupsky, Ord, Nebraska State Bank employee.
"When I started college in the fall of 1944, it was like a girls' school — 95 women and only five men students. During the second semester of my sophomore year, more male students were enrolled. By 1948 when I graduated, there were twice as many men as female students. During that first year, several of the girls dated high school seniors because to us the boys on campus were '4-F.' They needed a good reason for not being in the service to be respected by the girls." - Wanda Mowry, Bayard High School student.
"All men, not just working-class men, felt the eyes of their neighbors upon them. The wife of a Lowell mayor recalled a man who committed suicide in part because of his 4-F status." - The Irony of Victory: World War II and Lowell, Massachusetts