Well the issue is the DS can’t rotate all the way around, as it has to be facing the rebel fleet to fire at it. But… (bare in mind I have no idea how you did the thing you did) …but surely you can have the direction of rotation in any direction? So what I wonder, is whether its possible to use it to simulate perspective for the shots, like where Home-One are doing crazy maneuvers while a camera is in them (like at: https://www.youtube.com/watch?v=f38a6pYL_jE&t=115s).
Also when when I was re-watching this (again) i noticed that when the DS fires the second shot is flipped vertically: https://www.youtube.com/watch?v=f38a6pYL_jE&t=245s I assume because they didn’t want people to know ist the same shot reused but this just begs the question how the conceived by midichlorians did it to a 180 fire and another one 180 in like 3 seconds? The other thing is that we could (if we can?) have it do the whole subtle rotate thing, but to suggest it is doing to to aim the laser. So it could do that for the first few shots then when it is building up to the first shot we see it stop and start to rotate in another direction, just to build suspense before the emperor reveals it is a “fully operation battle station!” then that can be constantly changing as it picks the next target.