EDIT: I see what you mean now. The sun is never an actual object, just a painting on the wall. That makes perfect sense. So it's even technically impossible for them to make the planets revolve around the sun, it's always the other way around. I think they could still add planet rotation, but that might look weird if their positions relative to each other remain fixed.
Yeah, one of the first things I did was try to fly toward the sun, because it struck me as odd that all the planets in each system were always on the same side of the sun as each other. I was expecting to have to fly around the sun to different planets. This was what first tipped me off that this wasn't a sun with planets revolving around it, and to check, I flew directly at the sun, and obviously never got any closer. At this point, I realised the planets were just randomly placed, relatively to one another, inside a big spherical room essentially, and the sun, like all the little stars, was just painted on the "walls" of this room.
At first, I thought the planets must all rotate whilst stationary inside the room, because if the room rotated like a normal sky box, then surely the sun would have been moving while I was trying to fly toward it. I didn't think much of it until a fair bit later, when I was happily mining away on a planet that had another planet very close by, which you could see on the horizon. After a couple of hours of mining, I realised the planet on the horizon was still there. Obviously, if the planets themselves were rotating, you would see the other planets moving across the sky as well as the sun and stars, but the other planets stayed still relative to the planet I was on. I checked it out, and realised the sun and stars were all moving across the sky, but the planets stayed still. So the sky box "room" was rotating after all, but why didn't I notice it in space, it should have stood out.
So I observed the sun moving relative to another planet, looking up from a planet I was standing on, and then jumped in my ship and headed straight up toward them both (the other planet and the sun, which had almost gone behind the planet at this stage), and at the point where I had left the atmosphere, the sun stopped moving. I observed it for more than long enough to confirm that it had completely stopped in it's tracks, the moment I left the atmosphere. As soon as I went onto another planet, the sun and stars were moving again.
It's a very tricky little way to make it seem like a more dynamic set up than a box with stars painted on containing a handful of randomly placed static planets. Cheeky little buggers made the star systems out to be far more complex than that
I uploaded the video, ignore my poor shooting of the pirates after I leave the atmosphere, I was focused on the task at hand, and they kinda caught me off guard lol.