The James Webb Space Telescope isn't really a traveling spacecraft. It's located near the Earth-Sun L2 point, which is a region where the gravity of the Earth and the Sun combine with centrifugal motion to make it possible to orbit empty space. Its on board propulsion systems are used solely for station keeping, minor adjustments necessary to maintain its somewhat unstable orbit, not for navigating to a new position.

There's something about photos (and especially video) where you can see part of the spacecraft that feels almost surreal to me.

I think it has something to do with the sense of scale and perspective. Images that just show a celestial body are photos of an object. Add something so clearly made by human beings, though, and whatever I'd being shown becomes a place instead (especially with a video like this, where you can see motion in roughly the way a human would from the same vantage). You get a sense for how large things are, and for their distance from the camera. It all feels so much larger and more dynamic, reminding us of where we are in the Universe.