The original question, I thought was a simple one, "Is 16% or 22% better for layers?"
Is there no short answer to this? I'm not sure I have spent much time thinking about this. My chickens free range and eat so many bugs and greens that I really didn't think I had to worry about anything.
There no short black an white answer, IMO 22% is likely excess for layers, but that doesn't equate to it being worse or 16% being better as there is going to be instances that lean both ways favoring more or less protein...
If you are all that concerned they are not getting enough protein, go with the middle ground as many do and feed an 18% feed...