IIRC, The camera isn’t even shaking during the TIE Fighter attack in Star Wars. The shot was locked down due to the way the gunner shots were set up. They’re moving the frame around in post to simulate the camera shaking, aren’t they?
Well yes, that and some of the shots in the cockpit the camera is shaking.
“Shaky cam” is basically what happens when people who don’t have the vocabulary for an established film technique create a term, and that term gets popularized through common usage. “Shaky Cam” was what people who didn’t previously know what handheld photography was called came up with to describe what they were watching. The internet made that sort of adoption of terminology a lot faster than it used to be. Sometimes that speed basically renders words and terms more or less meaningless. Sort of like how “Reboot” essentially replaced “Remake” and is now used almost interchangeably with “sequel.” Or, in the world of videogames, how the term “cinematics” became “cut-scenes” despite the fact “cut-scenes” basically doesn’t make any sense as a term.
Apparently shaky cam as a phrase now means literally any camera movement whatsoever, whether handheld or not. Once again I feel like the liberal used of the word ‘sandwich’ is a good analogy.