Authority seems to be the focus, and the application comes out of understanding authority.
In this way, the principle behind why Paul instructs this specific thing, actually can apply to many many instructions, and applies to men also.
Worship is not just a weekly event, but the daily grind of living for the Lord.
This specific phrase also brings in the role of angels.
Messengers, ministers, helpers... but also liars, manipulators, and destroyers.
The authority over the individual either protects them... or leaves them open for attack.