I think it's been made pretty clear between Andor and Ashoka that the Old Republic, the Empire, and the New Republic are all essentially the same bureaucracy at their cores, just with different leadership and priorities at the top.

It's really showing the banality of evil...people continue to do their jobs and following orders of whoever the current bosses are. By and large, they can't directly see whether their own actions are used for good or evil, the paperwork must continue to flow regardless.

That's why there isn't a ton of chaos when one galactic government supplants the next. Setting up an all-new galaxy-spanning bureaucracy is extremely hard, why not just do some loyalty oaths and let the existing machinery keep on chugging along.