Was it scripted by Military Public Affairs Officers? No. As anything like this donre by a private company or movie studie, it was done in coorperation with and the approval of DoD.
Was it filmed by Armed Forces Information services? Nope. I suspect it was HBO's filmcrew.
Was it reviewed for authenticity by the U.S. Army Center for Military History? Authenticity? It's live footage. How authentic do you want?
Was it edited by by military editors? It is an HBO production not a DOD/AFTRS/YADA/YADA/YADA production
No matter who does the documentary, the truth is done in the editing room and frequently lies on the cutting room floor.