I know you're trying to be witty, but "non-essential" means people who must be present to handle emergencies. It does not mean that people who could miss a day or two with a major catastrophe are completely useless. Many of them may actually be useless, but you're reading way too much in the specific phrase...
Like most states, it will be no surprise if nobody notices that they were not at work.
You are partailly correct. I happen to think that governemnt does way more than what it should be doing. If these people are not performing a task that can't be done by non-government workers they are essential (Cops, firefighters, judges, state attorneys etc.) On the other hand DOT, Social workers, food stamp coordinators etc. Should go find real work somewhere else where I can choose not to support them by shopping elsewhere
Useless employees are asked to stay home for ever.
Normally useless employees are related to someone in the legislature!