Rich families would find a way for their child not to participate.
Yes, that is true. I was one of those. My father told me that someday I would be "tested" as he had been in WWII. He wanted me to join the Navy as our family had always had the boys join the Navy.
However, since we lived near Travis AFB, and he saw the body bags coming back, and no progress in the war he said that this was not a war, it was politicians throwing bodies at the problem. I got number 42 in the draft but by that time my sister, father and mother were living in Paris and I was traveling around the world. My address was their place in the 13th Arondesmont which is where my call up was mailed to. The letter came after the reporting date. My parents sent a letter to the draft board saying that as soon as they heard from me they would tell me that I was called up. The lawyers said that way I was never legally served so the government had no way to come after me.
Bottom line, relatively wealthy family has lawyers and exits country. Sounds like Germany in 1936...
While I have never felt guilty for not going I can not, to this day, go into the Memorial at Eagles Nest in New Mexico. The emotion is just too intense. I have gone there with my best friend about 7 different times. For him, it is a pilgrimage.
My best friend is ex-101st Airborne and was in Laos, Cambodia, Vietnam back in 60 through 64 when we "weren't there". He had to sign papers saying that if he was captured the government would disavow that he was US military. He has told me it was good I didn't go.
Is any of this "fair" in terms of who went? No, absolutely not. But then Lydon Johnson should have been impeached over his incompetence in executing the "war" and McNamara should have been in Federal prison with no way out, ever.