In the 1st two wars mentioned there were plenty of volunteers. The draft was used to keep the intake orderly.
The 3rd war mentioned proved to be in vain. My position stands.
There clearly not plenty of volunteers, that is why the WWII Army was 93% draftees, the draft was needed to get men into ground combat.
The draft has always proven necessary for large wars, it is why we had to accept old 40 something grandmas, for even these small recent wars, we were desperate.