There seems to be an assumption that a battle has to be either a defeat for one or the either side, or that one narrative or the other has to be true. In reality, both sides can lose a battle, and different observers can build different and equally true narratives.
The Vietcong lost the Tet offensive, because they achieved none of their aims and suffered horrific casualties. Several North Vietnamese leaders have been quoted as saying they thought their cause was doomed after the failures of Tet, that it was their last-gasp attempt and it had come up short. But the Americans also lost Tet, for the reasons others have explained above: the Pentagon had been overselling the extent of progress, and the fact that the NVA was able to execute that level of organized offensive --successful or not – came as a dispiriting shock.
There are enough facts to support the narrative of “Tet proved that the war was still a stalemate,” especially if, as Alessan, points out, people care less about territory gained and enemies killed and measure success as “American soldiers not dying.” But there are also enough facts to support the “stab in the back” narrative, if you define success by defeating the enemy and accept the casualties as the price of that victory. That tends to be the point of view of military types generally, and the most forceful advocates of the position have tended to be soldiers who were there and saw the military progress and advances, and felt their sacrifices were squandered.
The narrative that resonates more with you is going to depend more on your prior assumptions – definitions of “progress,” expectations of success, number of casualties you’re willing to endure for military victory, etc – than it does on the actual facts on the ground.
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The above, plus Uncle Walter saying … When you lose Cronkite, you lose Middle America.
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This is a myth, but an illustrative one.
Johnson did not watch Cronkite on TV that night; he was giving a speech in Dallas. The story of him being disheartened by seeing Cronkite’s editorial did not appear anywhere until 1979, more or less during Cronkite’s farewell tour, and has never been confirmed by anyone close to LBJ. So the idea of Cronkite’s opinion convincing LBJ that he’d lost the country is, on the strictly factual level, probably a myth (and one that usually gets repeated by media types to show how important the media is).
On the other hand, it’s certainly possible to argue that Cronkite’s opinion was given during a period in which LBJ was indeed losing Middle America – the percentage of Americans calling the war “a mistake” went over 50% a few months after Tet. So on a metaphorical level, there is truth to the story of Cronkite-as-belwether.
The facts are the facts … but people make decisions, and tell history, according to the narratives we build in our heads.