Breezeway isn't meant to be used during Zones 1-3, since the only people in these zones (generally; Row 10 on 737s and MD-80s I know are Zone 1) are first class and elites. The real purpose of Breezeway is to cut the lines during Zones 4-9, which are non-elite zones.
Ah. Makes sense but it would make more sense if they would clarify it like you did. Case in point, I was flying out of ATL a couple of weeks ago and both lines were forming while the plane was being cleaned. I really didn't know which line to get in since I was flying F in zone 1.
There were 2 gate agents discussing the breezeway loud enough for most of us to hear. One said that he hated it, thought it was a stupid idea, all passengers were "special", blah blah, that when he's doing the boarding he just ignores it and will continue to do so until...
I didn't hear the last part but I'm assuming he meant until he got in trouble for it.