> That's the actually movement of time changing. The processes themselves are unchanged
You can interpret things this way, I suppose, but that doesn't change the fact that it applies to all processes; from the viewpoint of someone who sees the processes as moving, all processes are time dilated--the "movement of time changing" applies to all of them. There's no special exception for certain quantum effects, or anything else. They're all the same: they all are unchanged to someone moving with them, and they all are time dilated to someone not moving with them.
You can interpret things this way, I suppose, but that doesn't change the fact that it applies to all processes; from the viewpoint of someone who sees the processes as moving, all processes are time dilated--the "movement of time changing" applies to all of them. There's no special exception for certain quantum effects, or anything else. They're all the same: they all are unchanged to someone moving with them, and they all are time dilated to someone not moving with them.