CNC machines can be designed to produce parts to 1mm accuracy, or 10nm accuracy or better. Designed according to task, and priced accordingly.
But then they can do it all day and all night long.?
Humans are only useful at machining or finishing parts(laboriously) where the CNC machine used wasn't ideal for the task, ie one with insufficient accuracy.
In a debate like this, it would be more appropriate to select a task, and then decide if CNC or manual machining is better suited.