If it is like what the parent says, and if the employer is not very important, say a start up company, it would be fine to let this go.
However, as many would like to point out, this is a city job, a public service job.
That in itself changes the whole game.
As public servants, in theory, they are there to help the public by doing their jobs, whether it be janitorial or clerical.
If this is allowed to happen, it might at the very least devolve into what is currently happening in police jobs.
There if one wants to succeed and keep their job, keeping their supervisors happy and not saying anything bad about them is a must.
Positive criticism cannot be attained and the organization loses a check, another regulating power to help keep it nice and efficient.
Yet, who in their right mind, as a bureaucrat, would let go the chance to control their employees more?