Shouldn't the title "Prosecutor" also be abolished??

The Prosecution Service has been changed to the Prosecution Office and the Central Investigation Office.
In that case, shouldn't the title "Prosecutor" also change??
Hmm...
Since they were prosecutors under the Prosecution Service...
A prosecutor at the Prosecution Office would be "Gong-sa"... Hey~~ Gong-sa~~
A prosecutor at the Central Investigation Office would be "Jung-sa"... Hey, Jung-sa~~
What do you think? lol