Thank you @Shasta_man I regret not allowing a wider window of "connection time" but that ship has sailed. I will just have to suck it up and do the best I can. I have looked closely at maps of LAX and have a fairly clear sense of direction/layout.@brownie I arrived to LAX with 6 hours before the Fiji departure. Gobs of time.
My flight left from one of the even numbered 200 gates. I think 202, could have been 206.
Looking at this map on flylax.com:
We entered what 's labelled Great Hall from what's labeled "connector to Terminal 4".
We crossed through to go out to the 200 gate area.
I suspect the A 23 that @jbjclj references above may refer to the panel of Fiji Airways checkin counters before TSA security on a lower level. Since I am navigating airside, that's not where I want to be.
I guess the worst-case scenario: I have to overnight in LAX and maybe there's a seat on the next flight out the following evening.