'essentiality' doesn't come into the equation. Those who managed to amass a fortune being more efficient will want servants and other people to serve them (entertainers, sex workers, etc etc), which cannot easily be provided by machines. The economy will revert back to a fuedal one, where you become "owned" by the rich. Unless, of course, the people rebel, and bring on a socialist/communist form of gov't. I doubt that will happen though, becase the rich will see it coming, and nip it in the bud.
What if the future is red?
So let's hope we don't go down that road.
Most likely it'll roll out like public libraries / utilities. I already drive on government owned streets kept safe by government paid cops and clean by government paid trash pickup to visit the government owned library to use the government owned photocopier when I need to do legacy media stuff. Not a huge extension of the concept at the library to use the government owned 3d printer to make stuff or the government owned protein sequencer to make me soylent-tier food, maybe in 30 years.
Not the govt.
The govt owns nothing nor employees anyone.