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IOW....Burns got it right.
Bill Mauldin used to tell a joke; when he asked a soldier if he was on the front line, the guy replied "No, I was 100 yards behind it." Support troops may not have been at the very sharpest point of the stick, but there's a constant danger in any theater of war.
Not to keep going back to him, but my Grandfather would likely have been considered "Support Troops"...he commanded an Anti-Aircraft Unit. However, he saw more combat at the Bulge, and at Remagen, than I'm sure anyone would ever want to. Heck, at the Bulge, the way he found out that the Germans had broken through was by coming nose to nose with a German tank while in his jeep! He used to say that the only reason he was still around was that his driver was a smidge faster than the tank's gunner....
I just felt that Burns sold the black troopers short (in the bit of the series that I saw). Sort of implied that they just sat around + complained about not getting into the thick of it. Full disclosure - I have not seen anything of the series other than that bit on Tuesday night.