"I went through a lot when I was younger so therefore others should be punished more severely when they do something wrong." Did I summarize that correctly?
No, the point is not that he passively "went through" something. He is saying that, if a 17-yr-old can take on adult responsibilities with adult consequences, then we shouldn't treat 20-yr-olds as quasi-children.
I basically agree, but I don't see how it leads to the conclusion that the players deserve a 4-game suspension. 1 game "seems" right to me.