“Shaky cam” is just a colloquial synonym for “hand-held photography.”
Nobody’s actually shaking the camera, it’s just not stabilized on a dolly or tripod or steadicam machine.
It’s not in this movie, OR in The Force Awakens very much.
This. Shaky cam doesn’t mean moving camera. It’s means handheld photography. And it’s almost entirely absent in the film. In that clip, not a single live action shot is handheld.