The deferment policy was set by the government not the schools. Basically it was this, if you were a healty male, and if your family had money, daddy or mommy had influence, or you married and hid behind a skirt you could get a deferment. If you were not well off, your parents did not have influence, or you were unwilling to hide behind a skirt, you were eligible for the draft. The lottery mitigated some, but not all of this.

US was my prefix. IMHO money, influence and skirts allowed many to exercise their cowardice. With money, influence or a skirt to hide behind, you still had to seek the deferment.