You are correct: NEWwoman's story is simply not believable.
The inauguration of LBJ was photographed, but not filmed. It was sound recorded as well.
At the time it occurred, all the TV networks were breaking the official news that President Kennedy had succumbed to his injuries.
Far from being broadcast live, it was only made known after the fact and there is no footage.
There were only ten men present at the inauguration besides LBJ.
Other than having been physically present, there is no way to tell what look was in LBJ's eyes, since he is blinking in the only extant photograph of the swearing-in and his eyes are not visible.
I know what my father told me. I believe him - I have never known him lie.
The photo known as "The Wink" is interesting. LBJ isn't blinking but is looking at Congressman Albert Thomas who is winking at LBJ.