I'm not blaming you here, but I think "automatons" may be inaccurate. A lot of the jobs that seem menial would be utterly bollixed if done by an automaton. The people continually handle the edge cases and tiny discrepancies between formal procedures and how things actually work. Consider the many stories of people experience AI bots when they try to get vendor support for products. "Please let me talk to a real person."

Many of those people, probably including most bureaucrats, are working on systems that have already been automated to the fullest extent possible. This is one of the reasons why bureaucracies seem chaotic and inefficient -- the stuff that works is happening automatically and is invisible. You only see the exceptions.

The automation can be improved, but it's a laborious process and fraught with the risks associated with the software crisis. You never know when a project is going to fall into the abyss and never emerge, and the best models of project failure are stochastic.