My list goes John > Kyle > Guy > second- and third-string male Lanterns > female Lanterns > Hal. I was actually starting to really like Soranik for a while, there, but thankfully she started dating Kyle and I was able to dismiss her as cannon fodder again.
I liked Kyle on the League a lot during the Kelly-Waid-Morrison run, the way he kind of created an interesting younger brother dynamic and gave the League a certain... accessibility, perhaps? He made the Big Seven League seem a bit more like a collection of people than a collection of icons, in a way that the more businesslike, reserved John hasn't, but without the forced pandering of a Snapper Carr. But the current League has a very different dynamic and Kyle's getting a lot of love in GLC, so John feels like the best choice to me for JLA even without the very valid "people outside comicdom know this guy" consideration.