If anybody takes the time to look at statistics, they will conclude:
--Involvement and deaths increased under Kenney and Johnson
--Deaths and involvement reduced under Nixon and Ford - "Peace with Honor"
https://en.wikipedia.org/wiki/Peace_with_Honor
Burns wants to paint a different picture, from reality. Reality is that as late as 1972 Nixon clobbered anti-war McGovern.
And Nixon tried to keep his commitment to wind down our involvement, and it worked.
https://www.militaryfactory.com/vietnam/casualties.asp
The last year of the draft lottery, my birthday came up in the fifties: Might as well enlist if you aren't going to flunk the physical.
Fortunately for those my age, that was just a couple of years before I was old enough. I still have my draft card somewhere, classified as 1H (presumably 1A, but awaiting physical). By the time I graduated High School, were were well on the way into Vietnamization and the draft had been stopped.
I had a lot of older friends, and no small number had been drafted or enlisted and gone to SE Asia.
I still remember Walter Cronkite saying the war could not be won, even as the USMC was mopping up in Hue and finishing off the last major units of the VC. From there, our troops faced mainly NVA regulars and scattered VC units, but the Viet Cong never recovered from their failed attempt to occupy all the provincial capitals in '68, and victory in the war was well within reach militarily. That wasn't what the folks back home were being told, and the media (Jane Fonda and all) were busy promoting hippies, Communists, and The New Left, to the detriment of us all.
I still piss people off with a vintage campaign button that says "President Nixon, now more than ever."