Yes, SpaceX puts a lot more effort into the webcasts. I don't know if their telemetry is live or precomputed (though it is likely live, see below) - but the fact that they show live feed of the rocket rather than a simulation (except for Stage 2 coasting periods where they render the spacecrafts' orbit) already gives the entire display a different feel. (At this point it's also important to note that this live feed got them into trouble once [1]).

I also agree with your sentiment that the movie removes a bit of the scientific aspect.

Insert here a good 30 minutes spent on watching launch footage and writing down numbers

Ok, at this point I'm deep in looking at launch footage, and I'm more disappointed by the Soyuz launch footage. Whilst it's possible that they followed the exact same launch trajectory (on paper and reality), it's unlikely: MS-08 [2] and MS-09 [3] had the exact same speed, altitude and downrange distance throughout the time telemetry was visible. In contrast, SpaceX showed very different telemetry during launches to the ISS ([4], [5], [6]). Also, it doesn't seem pre-computed: The telemetry during the CRS-7 webcast [7] at least doesn't just continue when the rocket explodes, indicating that it doesn't just display pre-computed numbers.

In Soyuz' defense: They probably have a different (older?) system to get telemetry, and it might bear additional challenges to feed them into a publicly accessible live-stream.

[1] https://www.space.com/40153-spacex-launch-video-noaa-restric...

[2] https://youtu.be/iDebCdDHHpg?t=365

[3] https://youtu.be/00uftjSjcnk?t=364

[4] https://youtu.be/C_Gmgj3N_Z0?t=1270

[5] https://youtu.be/FCCyVCvN2bo?t=1179

[6] https://youtu.be/rUDLxFUMC9c?t=1036

[7] https://youtu.be/JYFLoTgO-xQ?t=1286