What is the Greek use? Is there some prayer or formula that's customary?
So the "Office" of confessor resides in the bishop and he may delegate as he sees fit?
I'm assuming the whole derives from "whose sins you shall forgive," -- I'm just trying to be clear on the development and understanding. (I do appreciate your taking the trouble to explain!)
“So the “Office” of confessor resides in the bishop and he may delegate as he sees fit?”
I never thought of it that way, as a “delegation”. The bishop authorizes selected people, mostly priests, to be confessors because they have displayed the necessary qualities to be a spiritual father/mother.
Here is a link to a rather formal rendition of the Greek order of Confession. Scroll to the bottom of the first page. The Slavonic is somewhat different and far more Western, a result of Western influence on the Russian Church under Peter the Great.