Who oversees the congregation?

Not who appoints the pastor, but who the appointer is — whether oversight rests in a person or a council, how that office is obtained, for how long, and who can end it. A bishop with life tenure, a bishop facing re-election every six years, and a bishop appointed by an authority outside the country are three different arrangements that the word 'bishop' conceals.

A bishop, elected for fixed terms

The institute's own superiors

A board of directors

A council of elders, not a person

A bishop, holding office for life

Nothing above the congregation

A bishop, appointed from outside the local body

Every grouping above is a nearest-fit label; the deviations are stated in each profile's prose. Why it is built that way.